Alexandru Zaharescu

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All published works

Action	Title	Year	Authors
+ PDF Chat	Exponential sums over Möbius convolutions with applications to partitions	2025	Debmalya Basak Nicolas Robles Alexandru Zaharescu
+ PDF Chat	Exponential sums twisted by general arithmetic functions	2024	A. Dong Nicolas Robles Alexandru Zaharescu Dirk Zeindler
+ PDF Chat	Strange and pseudo-differentiable functions with applications to prime partitions	2024	A. Dong Nicolas Robles Alexandru Zaharescu Dirk Zeindler
+ PDF Chat	On non-holonomicity, transcendence and $p$-adic valuations	2024	Cristian Cobeli Mihai Prunescu Alexandru Zaharescu
+ PDF Chat	On the order of 4-dimensional regular polytope numbers	2024	A. Dong The Van Nguyen Alexandru Zaharescu
+ PDF Chat	An Equidistribution Result for Differences Associated with Square Pyramidal Numbers	2024	A. Dong Katerina Saettone Katherine Song Alexandru Zaharescu
+ PDF Chat	Theorems and Conjectures on an Arithmetic Sum Associated with the Classical Theta Function $\theta_3$	2024	Bruce C. Berndt Raghavendra N. Bhat Jeffrey L. Meyer Likun Xie Alexandru Zaharescu
+ PDF Chat	Arithmetic Polygons and Sums of Consecutive Squares	2024	Jack Anderson Amy Woodall Alexandru Zaharescu
+ PDF Chat	On a Special Metric in Cyclotomic Fields	2024	Katerina Saettone Alexandru Zaharescu Zhuo Zhang
+ PDF Chat	Super-regular polytopes in cyclotomic hypercubes	2024	Cristian Cobeli Alexandru Zaharescu
+	A Lozenge Triangulation of the Plane with Integers	2024	Raghavendra N. Bhat Cristian Cobeli Alexandru Zaharescu
+ PDF Chat	Non-vanishing of Dirichlet $L$-functions with Moduli in Short Intervals and Arithmetic Progressions	2024	Debmalya Basak Alexandru Zaharescu
+ PDF Chat	Almost all primes are not needed in Ternary Goldbach	2024	Debmalya Basak Raghavendra N. Bhat A. Dong Alexandru Zaharescu
+	The twisted second moment of modular half-integral weight $L$-functions	2024	Alexander R. Dunn Alexandru Zaharescu
+ PDF Chat	The Riemann zeta function and exact exponential sum identities of divisor functions	2024	Maria Năstăsescu Nicolas Robles Bogdan Stoica Alexandru Zaharescu
+	Evaluations and relations for finite trigonometric sums	2024	Bruce C. Berndt Sun Kim Alexandru Zaharescu
+ PDF Chat	On the Pair Correlation of Zeros of $L$-Functions for Non-CM Newforms in Shifted Ranges	2024	Jingjing Li Clayton J. Williams Alexandru Zaharescu
+	Distribution of angles to lattice points seen from a fast moving observer	2024	Jack Anderson Florin P. Boca Cristian Cobeli Alexandru Zaharescu
+ PDF Chat	Euler Product Sieve	2024	Di Liu Yuri Matiyasevich Joseph Oesterlé Alexandru Zaharescu
+ PDF Chat	Remarks on Landau-Siegel zeros	2024	Debmalya Basak Jesse Thorner Alexandru Zaharescu
+ PDF Chat	On the discrete trajectories of a self-propelled particle	2024	Cristian Cobeli Alexandru Zaharescu
+ PDF Chat	A lozenge triangulation of the plane with integers	2024	Raghavendra N. Bhat Cristian Cobeli Alexandru Zaharescu
+ PDF Chat	Evaluations and relations for finite trigonometric sums	2024	Bruce C. Berndt Sun Kim Alexandru Zaharescu
+ PDF	ENERGY BOUNDS FOR MODULAR ROOTS AND THEIR APPLICATIONS	2024	Bryce Kerr Ilya D. Shkredov Igor E. Shparlinski Alexandru Zaharescu
+ PDF	On the distribution of modular square roots of primes	2024	Ilya D. Shkredov Igor E. Shparlinski Alexandru Zaharescu
+	Counterintuitive Patterns on Angles and Distances Between Lattice Points in High Dimensional Hypercubes	2024	Jack Anderson Cristian Cobeli Alexandru Zaharescu
+	Filtered rays over iterated absolute differences on layers of integers	2023	Raghavendra N. Bhat Cristian Cobeli Alexandru Zaharescu
+	Partitions with multiplicities associated with divisor functions	2023	Bruce C. Berndt Nicolas Robles Alexandru Zaharescu Dirk Zeindler
+	Analytic ranks of automorphic L$L$‐functions and Landau–Siegel zeros	2023	Hung M. Bui Kyle Pratt Alexandru Zaharescu
+	A problem of Erdős–Graham–Granville–Selfridge on integral points on hyperelliptic curves	2023	Hung M. Bui Kyle Pratt Alexandru Zaharescu
+	Exact evaluations and reciprocity theorems for finite trigonometric sums	2023	Bruce C. Berndt Sun Kim Alexandru Zaharescu
+ PDF Chat	Finite trigonometric sums arising from Ramanujan’s theta functions	2023	Bruce C. Berndt Sun Kim Alexandru Zaharescu
+ PDF	Visibility phenomena in hypercubes	2023	Jayadev S. Athreya Cristian Cobeli Alexandru Zaharescu
+	Poisson Behavior for Chains of Small Quadratic Non-Residues	2023	Debmalya Basak Kunjakanan Nath Alexandru Zaharescu
+ PDF Chat	Ramification of p-power torsion points of formal groups	2023	Adrian Iovită Jackson S. Morrow Alexandru Zaharescu
+ PDF Chat	Proofs of McIntosh's conjecture on Franel integrals and two generalizations	2023	Bruce C. Berndt Likun Xie Alexandru Zaharescu
+	Power savings for counting solutions to polynomial-factorial equations	2023	Hung M. Bui Kyle Pratt Alexandru Zaharescu
+	A bias parity slope on the simplest non-periodic binary words	2023	Cristian Cobeli Alexandru Zaharescu
+	On Wieferich and Non-Wieferich Primes with Prime Bases	2023	Victor Alexandru Cristian Cobeli Marian Vâjâitu Alexandru Zaharescu
+	Modified Bessel Functions in Analytic Number Theory	2023	Bruce C. Berndt Atul Dixit Rajat Gupta Alexandru Zaharescu
+	On Quasi-Periodicity in Proth-Gilbreath Triangles	2023	Raghavendra N Bhat Cristian Cobeli Alexandru Zaharescu
+	Distribution of angles to lattice points seen from a fast moving observer	2023	Jack Anderson Florin P. Boca Cristian Cobeli Alexandru Zaharescu
+	Filtered rays over iterated absolute differences on layers of integers	2023	Raghavendra Bhat Cristian Cobeli Alexandru Zaharescu
+	Counterintuitive patterns on angles and distances between lattice points in high dimensional hypercubes	2023	Jack Anderson Cristian Cobeli Alexandru Zaharescu
+	A visual perspective on the Birch and Swinnerton-Dyer conjecture through a family of approximations of $L$-functions	2023	Maria Năstăsescu Bogdan Stoica Alexandru Zaharescu
+	The Riemann zeta function and exact exponential sum identities of divisor functions	2023	Maria Năstăsescu Nicolas Robles Bogdan Stoica Alexandru Zaharescu
+	Angular distribution towards the points of the neighbor-flips modular curve seen by a fast moving observer	2023	Jack Anderson Florin P. Boca Cristian Cobeli Alexandru Zaharescu
+	Exponential sums over Möbius convolutions with applications to partitions	2023	Debmalya Basak Nicolas Robles Alexandru Zaharescu
+ PDF Chat	A zero density estimate and fractional imaginary parts of zeros for <i>L</i>-functions	2022	Olivia Beckwith DI LIU Jesse Thorner Alexandru Zaharescu
+	Gaussian phenomena for small quadratic residues and non-residues	2022	Debmalya Basak Kunjakanan Nath Alexandru Zaharescu
+	Retraction notice to “A generalization of the Schur-Siegel-Smyth trace problem” [Journal of Mathematical Analysis and Applications 436 (1) (2016) 489–500]	2022	Kyle Pratt George Shakan Alexandru Zaharescu
+ PDF Chat	Two general series identities involving modified Bessel functions and a class of arithmetical functions	2022	Bruce C. Berndt Atul Dixit Rajat Gupta Alexandru Zaharescu
+	Statistical distribution of Fermat quotients	2022	Victor Alexandru Cristian Cobeli Marian Vâjâitu Alexandru Zaharescu
+ PDF Chat	On <i>p</i>-adic uniformization of abelian varieties with good reduction	2022	Adrian Iovită Jackson S. Morrow Alexandru Zaharescu
+	A class of identities associated with Dirichlet series satisfying Hecke’s functional equation	2022	Bruce C. Berndt Atul Dixit Rajat Gupta Alexandru Zaharescu
+	A class of approximations to the Riemann zeta function	2022	Maria Năstăsescu Alexandru Zaharescu
+	Power savings for counting solutions to polynomial-factorial equations	2022	Hung M. Bui Kyle Pratt Alexandru Zaharescu
+	Two General Series Identities Involving Modified Bessel Functions and a Class of Arithmetical Functions	2022	Bruce C. Berndt Atul Dixit Rajat Gupta Alexandru Zaharescu
+	Visibility phenomena in hypercubes	2022	Jayadev S. Athreya Cristian Cobeli Alexandru Zaharescu
+	Exact evaluations and reciprocity theorems for finite trigonometric sums	2022	Bruce C. Berndt Sun Kim Alexandru Zaharescu
+	Proofs of McIntosh's Conjecture on Franel Integrals and Two Generalizations	2022	Bruce C. Berndt Likun Xie Alexandru Zaharescu
+	A problem of Erdős-Graham-Granville-Selfridge on integral points on hyperelliptic curves	2022	Hung M. Bui Kyle Pratt Alexandru Zaharescu
+	Partitions into semiprimes	2022	Madhuparna Das Nicolas Robles Alexandru Zaharescu Dirk Zeindler
+	Factors of type III and the distribution of prime numbers	2022	Florin P. Boca Alexandru Zaharescu
+	Ramification of $p$-power torsion points of formal groups	2022	Adrian Iovită Jackson S. Morrow Alexandru Zaharescu
+	Finite trigonometric sums arising from Ramanujan's theta functions	2022	Bruce C. Berndt Sun Kim Alexandru Zaharescu
+ PDF Chat	Balanced derivatives, identities, and bounds for trigonometric and Bessel series	2021	Bruce C. Berndt Martino Fassina Sun Kim Alexandru Zaharescu
+ PDF Chat	Two-parameter identities for divisor sums in algebraic number fields	2021	Bruce C. Berndt Martino Fassina Sun Kim Alexandru Zaharescu
+	Bilinear Forms With Modular Square Roots and Twisted Second Moments of Half Integral Weight Dirichlet Series	2021	Ilya D. Shkredov Igor E. Shparlinski Alexandru Zaharescu
+	Towards a $p$-adic uniformization of abelian varieties with good reduction	2021	Adrian Iovită Jackson S. Morrow Alexandru Zaharescu
+	Two-parameter Identities for Divisor Sums in Algebraic Number Fields	2021	Bruce C. Berndt Martino Fassina Sun Kim Alexandru Zaharescu
+	A zero density estimate and fractional imaginary parts of zeros for $\mathrm{GL}_2$ $L$-functions	2021	Olivia Beckwith Di Liu Jesse Thorner Alexandru Zaharescu
+	Balanced Derivatives, Identities, and Bounds for Trigonometric and Bessel Series	2021	Bruce C. Berndt Martino Fassina Sun Kim Alexandru Zaharescu
+	The Distribution of Spacings Between the Fractional Parts of <i>ndα</i>	2021	Martino Fassina Sun Kim Alexandru Zaharescu
+ PDF	Exceptional characters and nonvanishing of Dirichlet L-functions	2021	Hung M. Bui Kyle Pratt Alexandru Zaharescu
+	Analytic ranks of automorphic L-functions and Landau-Siegel zeros	2021	Hung M. Bui Kyle Pratt Alexandru Zaharescu
+	Ramanujan and Koshliakov Meet Abel and Plana	2021	Bruce C. Berndt Atul Dixit Rajat Gupta Alexandru Zaharescu
+	A Class of Identities Associated with Dirichlet Series Satisfying Hecke's Functional Equation	2021	Bruce C. Berndt Atul Dixit Rajat Gupta Alexandru Zaharescu
+	On $p$-adic uniformization of abelian varieties with good reduction	2021	Adrian Iovită Jackson S. Morrow Alexandru Zaharescu
+	Two-parameter Identities for Divisor Sums in Algebraic Number Fields	2021	Bruce C. Berndt Martino Fassina Sun Kim Alexandru Zaharescu
+	A zero density estimate and fractional imaginary parts of zeros for $\mathrm{GL}_2$ $L$-functions	2021	Olivia Beckwith Di Liu Jesse Thorner Alexandru Zaharescu
+	Balanced Derivatives, Identities, and Bounds for Trigonometric and Bessel Series	2021	Bruce C. Berndt Martino Fassina Sun Kim Alexandru Zaharescu
+	On the zeros and singularities of p−adic trace functions	2020	Victor Alexandru Marian Vâjâitu Alexandru Zaharescu
+	Races with imaginary parts of zeros of the Riemann zeta function and Dirichlet L-functions	2020	Di Liu Alexandru Zaharescu
+ PDF Chat	Bilinear forms in Weyl sums for modular square roots and applications	2020	Alexander R. Dunn Bryce Kerr Igor E. Shparlinski Alexandru Zaharescu
+	The Final Problem: A Series Identity from the Lost Notebook	2020	Bruce C. Berndt Junxian Li Alexandru Zaharescu
+	Breaking the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:mfrac></mml:math>-barrier for the twisted second moment of Dirichlet L-functions	2020	Hung M. Bui Kyle Pratt Nicolas Robles Alexandru Zaharescu
+	The distribution of spacings between the fractional parts of $\boldsymbol{n^d\alpha}$	2020	Martino Fassina Sun Kim Alexandru Zaharescu
+	Factorials $\pmod p$ and the average of modular mappings	2020	Cristian Cobeli Alexandru Zaharescu
+	Exceptional characters and nonvanishing of Dirichlet $L$-functions	2020	Hung M. Bui Kyle Pratt Alexandru Zaharescu
+	On the distribution of modular square roots of primes	2020	Ilya D. Shkredov Igor E. Shparlinski Alexandru Zaharescu
+	The distribution of spacings between the fractional parts of $\boldsymbol{n^dα}$	2020	Martino Fassina Sun Kim Alexandru Zaharescu
+ PDF	More than five-twelfths of the zeros of $$\zeta $$ are on the critical line	2019	Kyle Pratt Nicolas Robles Alexandru Zaharescu Dirk Zeindler
+	Bilinear forms in Weyl sums for modular square roots and applications	2019	Alexander R. Dunn Bryce Kerr Igor E. Shparlinski Alexandru Zaharescu
+	Value distribution of L′(ρ)	2019	Junxian Li Alexandru Zaharescu
+	Ducci iterates and similar ordering of visible points in convex regions	2019	Junxian Li Albert Tamazyan Alexandru Zaharescu
+	Generating sets of Galois equivariant Krasner analytic functions	2019	Victor Alexandru Marian Vâjâitu Alexandru Zaharescu
+	The final problem: an identity from Ramanujan's lost notebook	2019	Bruce C. Berndt Junxian Li Alexandru Zaharescu
+	Sondow’s conjecture, convergents to e, and p-adic analytic functions	2019	Vicenţiu Paşol Alexandru Zaharescu
+	Lattice point problems involving index and joint visibility	2019	Sneha Chaubey Albert Tamazyan Alexandru Zaharescu
+	Isomorphism theorems for Galois groups of splitting fields of polynomials*	2019	Victor Alexandru Marian Vâjâitu Alexandru Zaharescu
+	The twisted second moment of modular half integral weight $L$--functions	2019	Alexander R. Dunn Alexandru Zaharescu
+	Bilinear forms in Weyl sums for modular square roots and applications	2019	Alexander R. Dunn Bryce Kerr Igor E. Shparlinski Alexandru Zaharescu
+	Monotonicity properties of ‐functions	2018	Sneha Chaubey K. Paolina Koutsaki Alexandru Zaharescu
+ PDF Chat	Sums of squares and products of Bessel functions	2018	Bruce C. Berndt Atul Dixit Sun Kim Alexandru Zaharescu
+ PDF Chat	SUMS OF KLOOSTERMAN SUMS OVER PRIMES IN AN ARITHMETIC PROGRESSION	2018	Alexander R. Dunn Alexandru Zaharescu
+	Zeros of combinations of the Riemann Ξ-function and the confluent hypergeometric function on bounded vertical shifts	2018	Atul Dixit Rahul Kumar Bibekananda Maji Alexandru Zaharescu
+	Partitions into kth powers of terms in an arithmetic progression	2018	Bruce C. Berndt Amita Malik Alexandru Zaharescu
+	More than five-twelfths of the zeros of $\zeta$ are on the critical line	2018	Kyle Pratt Nicolas Robles Alexandru Zaharescu Dirk Zeindler
+ PDF	The Circle Problem of Gauss and the Divisor Problem of Dirichlet—Still Unsolved	2018	Bruce C. Berndt Sun Kim Alexandru Zaharescu
+	Sums of Kloosterman sums over primes in an arithmetic progression	2018	Alexander R. Dunn Alexandru Zaharescu
+	On some modules associated with Galois orbits	2018	Victor Alexandru Marian Vâjâitu Alexandru Zaharescu
+	Breaking the $\frac{1}{2}$-barrier for the twisted second moment of Dirichlet $L$-functions	2018	Hung M. Bui Kyle Pratt Nicolas Robles Alexandru Zaharescu
+	The number of solutions of the diagonal cubic congruence equation	2018	Wenpeng Zhang Jiayuan Hu Alexandru Zaharescu
+	Incomplete balancing and lucas-balancing numbers	2018	Bijan Kumar Patel Nurettin Irmak Prasanta Kumar Ray Alexandru Zaharescu
+	A bias parity question for Sturmian words	2018	Cristian Cobeli Alexandru Zaharescu
+	More than five-twelfths of the zeros of $ζ$ are on the critical line	2018	Kyle Pratt Nicolas Robles Alexandru Zaharescu Dirk Zeindler
+	Sums of Kloosterman sums over primes in an arithmetic progression	2018	Alexander R. Dunn Alexandru Zaharescu
+	Zeros of normalized combinations of ξ()(s) on Re(s)=1/2	2017	Sneha Chaubey Amita Malik Nicolas Robles Alexandru Zaharescu
+	Zeros of combinations of the Riemann $\Xi$-function and the confluent hypergeometric function on bounded vertical shifts	2017	Atul Dixit Rahul Kumar Bibekananda Maji Alexandru Zaharescu
+	Exact evaluation of second moments associated with some families of curves over a finite field	2017	Ravi Donepudi Junxian Li Alexandru Zaharescu
+ PDF	On the zeros of linear combinations of derivatives of the Riemann zeta function, II	2017	K. Paolina Koutsaki Albert Tamazyan Alexandru Zaharescu
+	AN EFFECTIVE BOUND FOR THE CYCLOTOMIC LOXTON–KEDLAYA RANK	2017	Constantin N. Beli Florin Stan Alexandru Zaharescu
+	Sums of squares and products of Bessel functions	2017	Bruce C. Berndt Atul Dixit Sun Kim Alexandru Zaharescu
+	Smooth $$L^2$$ L 2 distances and zeros of approximations of Dedekind zeta functions	2017	Junxian Li Maria Năstăsescu Arindam Roy Alexandru Zaharescu
+	Sums of squares and products of Bessel functions	2017	Bruce C. Berndt Atul Dixit Sun Kim Alexandru Zaharescu
+	Zeros of combinations of the Riemann $Ξ$-function and the confluent hypergeometric function on bounded vertical shifts	2017	Atul Dixit Rahul Kumar Bibekananda Maji Alexandru Zaharescu
+ PDF	Simultaneous distribution of the fractional parts of Riemann zeta zeros	2016	Kevin Ford Xianchang Meng Alexandru Zaharescu
+	The largest gap between zeros of entire L-functions is less than 41.54	2016	Patrick Kühn Nicolas Robles Alexandru Zaharescu
+ PDF Chat	Error functions, Mordell integrals and an integral analogue of a partial theta function	2016	Atul Dixit Arindam Roy Alexandru Zaharescu
+	On a theorem of A. I. Popov on sums of squares	2016	Bruce C. Berndt Atul Dixit Sun Kim Alexandru Zaharescu
+	On a theorem of A. I. Popov on sums of squares	2016	Bruce C. Berndt Atul Dixit Sun Kim Alexandru Zaharescu
+	New pathways and connections in number theory and analysis motivated by two incorrect claims of Ramanujan	2016	Bruce C. Berndt Atul Dixit Arindam Roy Alexandru Zaharescu
+	New pathways and connections in Number Theory and Analysis motivated by two incorrect claims of Ramanujan	2016	Bruce C. Berndt Atul Dixit Arindam Roy Alexandru Zaharescu
+ PDF Chat	A growth model based on the arithmetic Z-game	2016	Cristian Cobeli Mihai Prunescu Alexandru Zaharescu
+	Error functions, Mordell integrals and an integral analogue of partial theta function	2016	Atul Dixit Arindam Roy Alexandru Zaharescu
+	Zeros of a family of approximations of Hecke L-functions associated with cusp forms	2016	Junxian Li Arindam Roy Alexandru Zaharescu
+	Continuous automorphisms of transcendental closed subfields of $$\mathbb {C}_p$$ C p	2016	Victor Alexandru Marian Vâjâitu Alexandru Zaharescu
+	Some identities involving convolutions of Dirichlet characters and the Möbius function	2016	Arindam Roy Alexandru Zaharescu Mohammad Zaki
+	On the zeros of linear combinations of derivatives of the Riemann zeta function	2016	K. Paolina Koutsaki Albert Tamazyan Alexandru Zaharescu
+	Barycenters in uniformly convex geodesic spaces	2016	Laurenţiu Leuştean Adriana Nicolae Alexandru Zaharescu
+	Isometric Galois actions over p-adic fields	2016	Victor Alexandru Marian Vâjâitu Alexandru Zaharescu
+	New pathways and connections in Number Theory and Analysis motivated by two incorrect claims of Ramanujan	2016	Bruce C. Berndt Atul Dixit Arindam Roy Alexandru Zaharescu
+	Error functions, Mordell integrals and an integral analogue of partial theta function	2016	Atul Dixit Arindam Roy Alexandru Zaharescu
+	On a theorem of A. I. Popov on sums of squares	2016	Bruce C. Berndt Atul Dixit Sun Kim Alexandru Zaharescu
+	RETRACTED: A generalization of the Schur–Siegel–Smyth trace problem	2015	Kyle Pratt George Shakan Alexandru Zaharescu
+	Continuous Distribution Arising From the Three Gaps Theorem	2015	Geremías Polanco Daniel Schultz Alexandru Zaharescu
+	A generalization of the Schur-Siegel-Smyth trace problem	2015	Kyle Pratt George Shakan Alexandru Zaharescu
+	Koshliakov kernel and identities involving the Riemann zeta function	2015	Atul Dixit Nicolas Robles Arindam Roy Alexandru Zaharescu
+	Riesz-type criteria and theta transformation analogues	2015	Atul Dixit Arindam Roy Alexandru Zaharescu
+	Continuous distributions arising from the Three Gap Theorem	2015	Geremías Polanco Daniel Schultz Alexandru Zaharescu
+	Twisted second moments of the Riemann zeta-function and applications	2015	Nicolas Robles Arindam Roy Alexandru Zaharescu
+	Pair correlation of fractional parts derived from rational valued sequences, II	2015	Sneha Chaubey Melinda Lanius Alexandru Zaharescu
+	On <i>p</i>-adic analytic continuation with applications to generating elements	2015	Victor Alexandru Marian Vâjâitu Alexandru Zaharescu
+	Koshliakov kernel and identities involving the Riemann zeta function	2015	Atul Dixit Nicolas Robles Arindam Roy Alexandru Zaharescu
+	On the norm of Krasner analytic functions with applications to transcendence results	2015	Victor Alexandru C.C. Niţu Marian Vâjâitu Alexandru Zaharescu
+	Pair correlation of fractional parts derived from rational valued sequences	2015	Sneha Chaubey Melinda Lanius Alexandru Zaharescu
+	Ramanujan–Hardy–Littlewood–Riesz phenomena for Hecke forms	2015	Atul Dixit Arindam Roy Alexandru Zaharescu
+ PDF	On the geometry behind a recurrent relation	2015	Cristian Cobeli Alexandru Zaharescu
+	Continuous Distribution Arising From the Three Gaps Theorem	2015	Geremías Polanco Daniel Schultz Alexandru Zaharescu
+	Koshliakov kernel and identities involving the Riemann zeta function	2015	Atul Dixit Nicolas Robles Arindam Roy Alexandru Zaharescu
+	A Generalization of the Schur-Siegel-Smyth Trace Problem	2015	Kyle Pratt George Shakan Alexandru Zaharescu
+ PDF Chat	Radial Density in Apollonian Packings	2014	Jayadev S. Athreya Cristian Cobeli Alexandru Zaharescu
+	Zeros of combinations of the Riemann ξ-function on bounded vertical shifts	2014	Atul Dixit Nicolas Robles Arindam Roy Alexandru Zaharescu
+	Weil numbers in finite extensions of ℚ^{𝕒𝕓}: the Loxton-Kedlaya phenomenon	2014	Florin Stan Alexandru Zaharescu
+	On the geometry behind a recurrent relation	2014	Cristian Cobeli Alexandru Zaharescu
+	Irrational factor races	2014	Sneha Chaubey Melinda Lanius Alexandru Zaharescu
+ PDF	Unnormalized differences between zeros of<i>L</i>-functions	2014	Kevin Ford Alexandru Zaharescu
+	Geometry of Farey-Ford polygons	2014	Jayadev S. Athreya Sneha Chaubey Amita Malik Alexandru Zaharescu
+	Geometric statistics of Ford circles	2014	Jayadev S. Athreya Sneha Chaubey Amita Malik Alexandru Zaharescu
+	Radial Density in Apollonian Packings	2014	Jayadev S. Athreya Cristian Cobeli Alexandru Zaharescu
+	k-Moments of distances between centers of Ford circles	2014	Sneha Chaubey Amita Malik Alexandru Zaharescu
+ PDF	A MULTIVARIABLE MAYER-ERDÖS PHENOMENON	2014	Xianchang Meng Alexandru Zaharescu
+ PDF	Pair correlation of angles between reciprocal geodesics on the modular surface	2014	Florin P. Boca Vicenţiu Paşol Alexandru A. Popa Alexandru Zaharescu
+ PDF Chat	A game with divisors and absolute differences of exponents	2014	Cristian Cobeli Alexandru Zaharescu
+	Weighted divisor sums and Bessel function series, V	2014	Bruce C. Berndt Sun Kim Alexandru Zaharescu
+ PDF Chat	Pair correlation of hyperbolic lattice angles	2014	Florin P. Boca Alexandru A. Popa Alexandru Zaharescu
+ PDF	A CLASS OF ARITHMETIC FUNCTIONS ON PSL<sub>2</sub>(ℤ), II	2014	Paul Spiegelhalter Alexandru Zaharescu
+	On the parity of broken $$k$$ k -diamond partitions	2014	Sneha Chaubey Wei Cheng Amita Malik Alexandru Zaharescu
+	On the distribution of the number of points on a family of curves over finite fields	2014	Kit-Ho Mak Alexandru Zaharescu
+	On the distribution of algebraic primes in small regions	2014	Mu-Tsun Tsai Alexandru Zaharescu
+	On Ducci Sequences with Primes	2014	Mihai Caragiu Alexandru Zaharescu Mohammad Zaki
+	The Siegel norm, the length function and character values of finite groups	2014	Amita Malik Florin Stan Alexandru Zaharescu
+	Analogues of Koshliakov’s formula	2014	Bruce C. Berndt Sun Kim Alexandru Zaharescu
+	Eigenvalues and arithmetic functions on $rm PSL_2(Bbb Z)$	2014	Andrew Ledoan Paul Spiegelhalter Alexandru Zaharescu
+	Geometry of Farey-Ford polygons	2014	Jayadev S. Athreya Sneha Chaubey Amita Malik Alexandru Zaharescu
+	Eigenvalues and Arithmetic Functions on PSL2(Z).	2014	Andrew Ledoan Paul Spiegelhalter Alexandru Zaharescu
+	Radial Density in Apollonian Packings	2014	Jayadev S. Athreya Cristian Cobeli Alexandru Zaharescu
+	On the geometry behind a recurrent relation	2014	Cristian Cobeli Alexandru Zaharescu
+	Residual transcendental extensions of valuations, irreducible polynomials, and trace series over $p$-adic fields	2013	Alexandru Zaharescu
+	Zeros of partial sums of the Dedekind zeta function of a cyclotomic field	2013	Andrew Ledoan Arindam Roy Alexandru Zaharescu
+ PDF Chat	Lehmer points and visible points on affine varieties over finite fields	2013	Kit-Ho Mak Alexandru Zaharescu
+	An analogue of the Proth-Gilbreath conjecture	2013	Mihai Caragiu Alexandru Zaharescu Mohammad Zaki
+	Diophantine approximation of the exponential function and Sondowʼs Conjecture	2013	Bruce C. Berndt Sun Kim Alexandru Zaharescu
+	Monotonicity results for Dirichlet L -functions	2013	Atul Dixit Arindam Roy Alexandru Zaharescu
+	Zeros of partial sums of the Dedekind zeta function of a cyclotomic field	2013	Andrew Ledoan Arindam Roy Alexandru Zaharescu
+	ARITHMETIC FUNCTIONS ON GAUSSIAN INTEGERS	2013	Thomas Steinberger Alexandru Zaharescu Mohammad Zaki
+	Marco's repulsion phenomenon between zeros of L-functions	2013	Kevin Ford Alexandru Zaharescu
+	Monotonicity Results for Dirichlet L-functions	2013	Atul Dixit Arindam Roy Alexandru Zaharescu
+	On the radical of linear forms over the ring of arithmetical functions	2013	Alexandru Zaharescu Mohammad Zaki
+	Natural boundaries of a family of Dirichlet series	2013	Alexandru Zaharescu Mohammad Zaki
+	Pair correlation of hyperbolic lattice angles	2013	Florin P. Boca Alexandru A. Popa Alexandru Zaharescu
+	Sister Beiter and Kloosterman: A tale of cyclotomic coefficients and modular inverses	2013	Cristian Cobeli Yves Gallot Pieter Moree Alexandru Zaharescu
+	Circle and divisor problems, and double series of Bessel functions	2013	Bruce C. Berndt Sun Kim Alexandru Zaharescu
+	The distribution of rational points and polynomial maps on an affine variety over a finite field on average	2013	Kit-Ho Mak Alexandru Zaharescu
+	Weighted divisor sums and Bessel function series. III	2013	Bruce C. Berndt Sun Kim Alexandru Zaharescu
+	The Circle and Divisor Problems, and Ramanujan's Contributions through Bessel Function Series	2013	Bruce C. Berndt Sun Kim Alexandru Zaharescu
+	Promenade around Pascal triangle number motives	2013	Cristian Cobeli Alexandru Zaharescu
+	Congruences Characterizing the Bicrossproduct of Cyclic Groups	2013	Nicolae Ciprian Bonciocat Mihai Cipu Mu Tsun Tsai Alexandru Zaharescu
+ PDF	Diophantine approximation with partial sums of power series	2013	Bruce C. Berndt Sun Kim M. Tip Phaovibul Alexandru Zaharescu
+ PDF	Dirichlet $L$-functions, elliptic curves, hypergeometric functions, and rational approximation with partial sums of power series	2013	Bruce C. Berndt Sun Kim Alexandru Zaharescu
+	Spectral norm of algebraic numbers, Siegel norm, and Weil numbers	2013	Alexandru Zaharescu
+	The distribution of rational points and polynomial maps on an affine variety over a finite field on average	2013	Kit-Ho Mak Alexandru Zaharescu
+	Pair correlation of hyperbolic lattice angles	2013	Florin P. Boca Alexandru A. Popa Alexandru Zaharescu
+	The distribution of values of short hybrid exponential sums on curves over finite fields	2013	Kit-Ho Mak Alexandru Zaharescu
+	Zeros of partial sums of the Dedekind zeta function of a cyclotomic field	2013	Andrew Ledoan Arindam Roy Alexandru Zaharescu
+	Monotonicity Results for Dirichlet L-functions	2013	Atul Dixit Arindam Roy Alexandru Zaharescu
+ PDF	The Behaviour of Rigid Analytic Functions around Orbits of Elements of $\mathbb{C}_p$	2012	Sever Achimescu Victor Alexandru Nicolae Popescu Marian Vâjâitu Alexandru Zaharescu
+ PDF Chat	Pair correlation of roots of rational functions with rational generating functions and quadratic denominators	2012	Khang Tran Alexandru Zaharescu
+	The Siegel norm of algebraic numbers	2012	Florin Stan Alexandru Zaharescu
+	Sister Beiter and Kloosterman: a tale of cyclotomic coefficients and modular inverses	2012	Cristian Cobeli Yves Gallot Pieter Moree Alexandru Zaharescu
+	On a class of solvable recurrences with primes	2012	Mihai Caragiu Alexandru Zaharescu Mohamm Zaki
+ PDF	Poisson type phenomena for points on hyperelliptic curves modulo $p$	2012	Kit-Ho Mak Alexandru Zaharescu
+ PDF	AN ALGEBRAIC-METRIC EQUIVALENCE RELATION OVER <i>p</i>-ADIC FIELDS	2012	Marian Vâjâitu Alexandru Zaharescu
+	Randomness of character sums modulo m	2012	Youness Lamzouri Alexandru Zaharescu
+	The pair correlation of homotetic images of zeros of the Riemann zeta-function	2012	Andrew Ledoan Alexandru Zaharescu
+	Weighted divisor sums and Bessel function series, IV	2012	Bruce C. Berndt Sun Kim Alexandru Zaharescu
+	On the Zeros of Krasner Analytic Functions	2012	Victor Alexandru Nicolae Popescu Marian Vâjâitu Alexandru Zaharescu
+	ON THE SUM OF CONSECUTIVE INTEGERS IN SEQUENCES II	2012	Mu-Tsun Tsai Alexandru Zaharescu
+ PDF	Statistics of the Jacobians of hyperelliptic curves over finite fields	2012	Maosheng Xiong Alexandru Zaharescu
+ PDF	Pair correlation of lattice points with prime constraint	2012	Maosheng Xiong Alexandru Zaharescu
+ PDF	Natural numbers n for which \lfloor nα+s\rfloor \not =\lfloor nβ+s\rfloor	2012	Douglas Bowman Alexandru Zaharescu
+	Sister Beiter and Kloosterman: a tale of cyclotomic coefficients and modular inverses	2012	Cristian Cobeli Yves Gallot Pieter Moree Alexandru Zaharescu
+	ON THE SUM OF CONSECUTIVE INTEGERS IN SEQUENCES	2011	Mu-Tsun Tsai Alexandru Zaharescu
+	Explicit Formulas for the Pair Correlation of Vertical Shifts of Zeros of the Riemann's Zeta-Function	2011	Andrew Ledoan Alexandru Zaharescu
+	Proof of the HRT conjecture for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> configurations	2011	Ciprian Demeter Alexandru Zaharescu
+	Weighted divisor sums and Bessel function series, II	2011	Bruce C. Berndt Sun Kim Alexandru Zaharescu
+	On the distribution of the number of points on a family of curves over finite fields	2011	Kit-Ho Mak Alexandru Zaharescu
+	Poisson Type Phenomena for Points on Hyperelliptic Curves modulo p	2011	Kit-Ho Mak Alexandru Zaharescu
+	Convexity of quotients of theta functions	2011	Atul Dixit Arindam Roy Alexandru Zaharescu
+	Randomness of character sums modulo $m$	2011	Youness Lamzouri Alexandru Zaharescu
+	Convexity of Quotients of Theta Functions	2011	Atul Dixit Arindam Roy Alexandru Zaharescu
+ PDF	Bounds for the multiplicities of the roots of a complex polynomial	2011	Anca Iuliana Bonciocat Nicolae Ciprian Bonciocat Alexandru Zaharescu
+	On the action of permutations on distances between values of rational functions mod p	2011	Mu-Tsun Tsai Alexandru Zaharescu
+	On Ducci Sequences with Algebraic Numbers	2011	Mihai Caragiu Alexandru Zaharescu Mohammad Zaki
+ PDF	Correlation of fractions with divisibility constraints	2011	Maosheng Xiong Alexandru Zaharescu
+	On the irreducibility of polynomials that take a prime power value	2011	Anca Iuliana Bonciocat Nicolae Ciprian Bonciocat Alexandru Zaharescu
+	On the distribution of the partial sum of Euler's totient function in residue classes	2011	Youness Lamzouri M. Tip Phaovibul Alexandru Zaharescu
+ PDF	The Distribution of Values of Short Hybrid Exponential Sums on Curves over Finite Fields	2011	Kit-Ho Mak Alexandru Zaharescu
+	Convexity of Quotients of Theta Functions	2011	Atul Dixit Arindam Roy Alexandru Zaharescu
+	On the distribution of the number of points on a family of curves over finite fields	2011	Kit-Ho Mak Alexandru Zaharescu
+	Poisson Type Phenomena for Points on Hyperelliptic Curves modulo p	2011	Kit-Ho Mak Alexandru Zaharescu
+	Randomness of character sums modulo $m$	2011	Youness Lamzouri Alexandru Zaharescu
+	An ABC analog for arithmetical functions	2010	Alexandru Zaharescu Mohammad Zaki
+	Representation Results for Equivariant Rigid Analytic Functions	2010	Victor Alexandru Nicolae Popescu Marian Vâjâitu Alexandru Zaharescu
+	Proof of the HRT conjecture for (2,2) configurations	2010	Ciprian Demeter Alexandru Zaharescu
+	On the singularities of multiple L-functions	2010	Alexandru Zaharescu Mohammad Zaki
+	On the iwasawa algebra associated to a normal element of ℂ p	2010	Victor Alexandru Nicolae Popescu Marian Vâjâitu Alexandru Zaharescu
+ PDF	Pair correlation of sums of rationals with bounded height	2010	Emre Alkan Maosheng Xiong Alexandru Zaharescu
+ PDF	On the parity of the number of multiplicative partitions	2010	Alexandru Zaharescu Mohammad Zaki
+	Proof of the HRT conjecture for (2,2) configurations	2010	Ciprian Demeter Alexandru Zaharescu
+ PDF	Corrigendum: “Consecutive Large Gaps in Sequences Defined by Multiplicative Constraints”	2009	Emre Alkan Alexandru Zaharescu
+	Analytic Continuation of a Family of Dirichlet series	2009	Alexandru Zaharescu Mohammad Zaki
+ PDF	ALL NON-ARCHIMEDEAN NORMS ON <i>K</i>[<i>X</i><sub>1</sub>, . . ., <i>X<sub>r</sub></i>]	2009	Ghiocel Groza Nicolae Popescu Alexandru Zaharescu
+ PDF	Diophantine approximation with arithmetic functions, II	2009	Emre Alkan Kevin Ford Alexandru Zaharescu
+	Divisors, measures and critical functions	2009	Boris Petracovici Lia Petracovici Alexandru Zaharescu
+ PDF	Selmer groups and Tate–Shafarevich groups for the congruent number problem	2009	Maosheng Xiong Alexandru Zaharescu
+	Pair correlation of torsion points on elliptic curves	2009	Emre Alkan Maosheng Xiong Alexandru Zaharescu
+	Valuations on the ring of arithmetical functions	2009	Alexandru Zaharescu Mohammad Zaki
+	Siegel's trace problem and character values of finite groups	2009	Florin Stan Alexandru Zaharescu
+	Diophantine approximation with arithmetic functions, I	2008	Emre Alkan Kevin Ford Alexandru Zaharescu
+	An algebraic independence result for Euler products of finite degree	2008	Alexandru Zaharescu Mohammad Zaki
+ PDF Chat	On the distribution of imaginary parts of zeros of the Riemann zeta function, II	2008	Kevin Ford K. Soundararajan Alexandru Zaharescu
+	Distribution of Selmer groups of quadratic twists of a family of elliptic curves	2008	Maosheng Xiong Alexandru Zaharescu
+	On the index of fractions with square-free denominators in arithmetic progressions	2008	Emre Alkan Andrew Ledoan Marian Vâjâitu Alexandru Zaharescu
+ PDF	Consecutive Large Gaps in Sequences Defined by Multiplicative Constraints	2008	Emre Alkan Alexandru Zaharescu
+	Analytic normal basis theorem	2008	Victor Alexandru Nicolae Popescu Alexandru Zaharescu
+	On the gaps in the Fourier expansion of cusp forms	2008	Emre Alkan Alexandru Zaharescu
+	Pair correlation of rationals with prime denominators	2008	Maosheng Xiong Alexandru Zaharescu
+ PDF	On the Number of Factors of Convolutions of Polynomials with Integer Coefficients	2008	Anca Iuliana Bonciocat Nicolae Ciprian Bonciocat Alexandru Zaharescu
+	Quotients of values of the Dedekind Eta function	2008	Emre Alkan Maosheng Xiong Alexandru Zaharescu
+	A note on GL 2 converse theorems	2008	Adrian Diaconu Alberto Perelli Alexandru Zaharescu
+	Factorization in certain rings of arithmetical functions	2008	Alexandru Zaharescu Mohammad Zaki
+	A bias phenomenon on the behavior of Dedekind sums	2008	Emre Alkan Maosheng Xiong Alexandru Zaharescu
+ PDF	Questionable claims found in Ramanujan’s lost notebook	2008	Bruce C. Berndt O-Yeat Chan Sung-Geun Lim Alexandru Zaharescu
+	On the distribution of imaginary parts of zeros of the Riemann zeta function, II	2008	Kevin Ford K. Soundararajan Alexandru Zaharescu
+	Diophantine approximation with arithmetic functions, I	2008	Emre Alkan Kevin Ford Alexandru Zaharescu
+	Farey fractions and two-dimensional tori	2007	Florin P. Boca Alexandru Zaharescu
+	Multidimensional averages and Dirichlet convolution	2007	Emre Alkan Alexandru Zaharescu Mohammad Zaki
+	Derivations and generating degrees in the ring of arithmetical functions	2007	Alexandru Zaharescu Mohammad Zaki
+ PDF	On Dirichlet $L$-functions and the index of visible points	2007	Emre Alkan Andrew Ledoan Alexandru Zaharescu
+	Arithmetic mean of differences of Dedekind sums	2007	Emre Alkan Maosheng Xiong Alexandru Zaharescu
+	The p-adic measure on the orbit of an element of ℂp	2007	Victor Alexandru Nicolae Popescu Marian Vâjâitu Alexandru Zaharescu
+	The $p$-adic measure on the orbit of an element of ${\mathbb {C}}_p$	2007	Victor Alexandru Nicolae Popescu Marian Vâjâitu Alexandru Zaharescu
+	Metric properties of the degree function over a $p$-adic field	2007	Marian Vâjâitu Alexandru Zaharescu
+ PDF Chat	The Distribution of the Free Path Lengths in the Periodic Two-Dimensional Lorentz Gas in the Small-Scatterer Limit	2006	Florin P. Boca Alexandru Zaharescu
+ PDF	Square-free criteria for polynomials using no derivatives	2006	Emre Alkan Anca Iuliana Bonciocat Nicolae Ciprian Bonciocat Alexandru Zaharescu
+	Irreducibility Results for Compositions of Polynomials with Integer Coefficients	2006	Anca Iuliana Bonciocat Alexandru Zaharescu
+	Lehmer 𝑘-tuples	2006	Emre Alkan Florin Stan Alexandru Zaharescu
+	Discrepancy of Fractions with Divisibility Constraints	2006	Emre Alkan Andrew Ledoan Marian Vâjâitu Alexandru Zaharescu
+ PDF	Weighted Divisor Sums and Bessel Function Series	2006	Bruce C. Berndt Alexandru Zaharescu
+	Unitary convolution for arithmetical functions in several variables	2006	Emre Alkan Alexandru Zaharescu Mohammad Zaki
+	The Mayer-Erdös phenomenon	2006	Alexandru Zaharescu
+ PDF	A Survey on the Distribution of B-free Numbers	2006	Emre Alkan Alexandru Zaharescu
+ PDF	Book Review: Analytic number theory	2006	Alexandru Zaharescu
+	Borwein's conjecture on average over arithmetic progressions	2006	Alexandru Zaharescu
+	On the Existence of Trace for Elements of % MathType!Translator!2!1!AMS LaTeX.tdl!TeX -- AMS-LaTeX! % MathType!MTEF!2!1!+- % feaaeaart1ev0aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX % garmWu51MyVXgatuuDJXwAK1uy0HwmaeHbfv3ySLgzG0uy0Hgip5wz % aebbnrfifHhDYfgasaacH8qrps0lbbf9q8WrFfeuY-Hhbbf9v8qqaq % Fr0xc9pk0xbba9q8WqFfea0-yr0RYxir-Jbba9q8aq0-yq-He9q8qq % Q8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeWaeaaakeaacq % WIceYOdaWgaaWcbaGaamiCaaqabaaaaa!3A08! $$\mathbb{C}_p$$	2006	Nicolae Popescu Marian Vâjâitu Alexandru Zaharescu
+ PDF	A problem of Erdős–Szüsz–Turán on diophantine approximation	2006	Maosheng Xiong Alexandru Zaharescu
+ PDF	A parity problem on the free path length of a billiard in the unit square with pockets	2006	Emre Alkan Andrew Ledoan Alexandru Zaharescu
+ PDF	Trace funcions and Galois invariant $p$-adic measures	2006	Marian Vâjâitu Alexandru Zaharescu
+ PDF	Bounds for the multiplicities of the roots for some classes of complex polynomials	2006	Anca Iuliana Bonciocat Nicolae Ciprian Bonciocat Alexandru Zaharescu
+	Substitution formulas for a class of unbounded distributions	2006	Marian Vâjâitu Alexandru Zaharescu
+	Discrepancy of sets of fractions with congruence constraints	2006	Emre Alkan Andrew Ledoan Marian Vâjâitu Alexandru Zaharescu
+	Measures of metric Haar type	2006	Marian Vâjâitu Alexandru Zaharescu
+	Irreducibility results for compositions of polynomials in several variables	2006	Anca Iuliana Bonciocat Alexandru Zaharescu
+ PDF	Asymptotic formulas for a class of sums over consecutive Farey fractions	2005	Alexandru Zaharescu
+ PDF	Some elementary zero-free regions for Dirichlet series and power series	2005	Nicolae Ciprian Bonciocat Alexandru Zaharescu
+ PDF	A UNIFORM DISTRIBUTION RESULT FOR A BILLIARD IN A UNIT SQUARE	2005	Emre Alkan T. V. SELVAKUMARAN Alexandru Zaharescu
+	On the Farey fractions with denominators in arithmetic progression	2005	Cristian Cobeli Alexandru Zaharescu
+	On the Intervals of a Third between Farey Fractions	2005	Cristian Cobeli Alexandru Zaharescu
+	Diophantine approximation with mild divisibility constraints	2005	Emre Alkan Glyn Harman Alexandru Zaharescu
+	THE DISTRIBUTION OF RATIONALS IN RESIDUE CLASSES	2005	Cristian Cobeli Alexandru Zaharescu
+ PDF	On the correlations of directions in the Euclidean plane	2005	Florin P. Boca Alexandru Zaharescu
+	Partitions associated with galois maps over p-adic fields	2005	Alexandru Zaharescu
+	ARITHMETICAL FUNCTIONS IN SEVERAL VARIABLES	2005	Emre Alkan Alexandru Zaharescu Mohammad Zaki
+ PDF	DETERMINATIONS OF ANALOGUES OF GAUSS SUMS AND OTHER TRIGONOMETRIC SUMS	2005	Matthias Beck Bruce C. Berndt O-Yeat Chan Alexandru Zaharescu
+ PDF	LIPSCHITZIAN ELEMENTS OVER p-ADIC FIELDS	2005	Alexandru Zaharescu
+ PDF Chat	THE CORRELATIONS OF FAREY FRACTIONS	2005	Florin P. Boca Alexandru Zaharescu
+ PDF Chat	Irreducibility results for compositions of polynomials in several variables	2005	Anca Iuliana Bonciocat Alexandru Zaharescu
+	On the distribution of rational functions along a curve over <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">F</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:math> and residue races	2005	Andrew Granville Igor E. Shparlinski Alexandru Zaharescu
+	NONVANISHING OF THE RAMANUJAN TAU FUNCTION IN SHORT INTERVALS	2005	Emre Alkan Alexandru Zaharescu
+ PDF	On the distribution of imaginary parts of zeros of the Riemann zeta function	2005	Kevin Ford Alexandru Zaharescu
+	B-free numbers in short arithmetic progressions	2005	Emre Alkan Alexandru Zaharescu
+	A density theorem on even Farey fractions	2005	Cristian Cobeli Marian Vâjâitu Alexandru Zaharescu
+ PDF	Nonvanishing of Fourier coefficients of newforms in progressions	2005	Emre Alkan Alexandru Zaharescu
+ PDF	On Krasner analytic functions and the p-adic Mellin transform	2005	Marian Vâjâitu Alexandru Zaharescu
+	GROUPS OF PERIODS FOR ARBITRARY MAPS ON GROUPS	2005	Nicolae Ciprian Bonciocat Alexandru Zaharescu
+	On the Intervals of a Third between Farey Fractions	2005	Cristian Cobeli Marian Vâjâitu Alexandru Zaharescu
+	On the Farey fractions with denominators in arithmetic progression	2005	Cristian Cobeli Alexandru Zaharescu
+	Metric subgroups of isometries on an ultrametric space	2005	Alexandru Zaharescu
+	Transformation formulas for $L$-functions associated with Galois orbits in $Bbb C_p$	2005	Marian Vâjâitu Alexandru Zaharescu
+	Numerical polynomials in several variables with few nonzero terms	2005	Geumlan Choi Alexandru Zaharescu
+	A density theorem on even Farey fractions	2005	Cristian Cobeli Alexandru Zaharescu
+	Determinations of Analogues of Gauss Sums and Other Trigonometric Sums	2005	Matthias Beck Bruce C. Berndt O-Yeat Chan Alexandru Zaharescu
+	The distribution of rationals in residue classes	2005	Cristian Cobeli Alexandru Zaharescu
+ PDF Chat	Norm estimates of almost Mathieu operators	2004	Florin P. Boca Alexandru Zaharescu
+	Continued fractions with three limit points	2004	George E. Andrews Bruce C. Berndt Jaebum Sohn Ae Ja Yee Alexandru Zaharescu
+	Finite trigonometric sums and class numbers	2004	Bruce C. Berndt Alexandru Zaharescu
+ PDF	A CLASS OF EXPONENTIAL CONGRUENCES IN SEVERAL VARIABLES	2004	Geumlan Choi Alexandru Zaharescu
+	A galois theory for the banach algebra of continuous symmetric functions on absolute galois groups	2004	Angel Popescu Nicolae Popescu Alexandru Zaharescu
+ PDF	New theorems on the parity of partition functions	2004	Bruce C. Berndt Ae Ja Yee Alexandru Zaharescu
+	Regularizations on ordered sheaves	2004	Marian Vâjâitu Alexandru Zaharescu
+	A new distance between Galois orbits over a number field	2004	Boris Petracovici Lia Petracovici Alexandru Zaharescu
+	The correlations of Farey fractions	2004	Florin P. Boca Alexandru Zaharescu
+	On the correlations of directions in the Euclidean plane	2004	Florin P. Boca Alexandru Zaharescu
+	On the distribution of imaginary parts of zeros of the Riemann zeta function	2004	Kevin Ford Alexandru Zaharescu
+	A Transcendence Criterion over $p$ -Adic Fields	2003	Victor Alexandru Alexandru Zaharescu
+ PDF	On the distribution of the Farey sequence with odd denominators	2003	Florian P. Boca Christian Cobeli Alexandru Zaharescu
+	A Multidimensional Version of a Result of Davenport-Erdos	2003	O-Yeat Chan Geumlan Choi Alexandru Zaharescu
+ PDF	On the spectral norm of algebraic numbers	2003	Angel Popescu Nicolae Popescu Alexandru Zaharescu
+	Galois structures on plane compacts	2003	Angel Popescu Nicolae Popescu Alexandru Zaharescu
+ PDF Chat	The Statistics of the Trajectory of a Certain Billiard in a Flat Two-Torus	2003	Florin P. Boca Radu N. Gologan Alexandru Zaharescu
+ PDF	INTEGRAL BASES OVER p-ADIC FIELDS	2003	Alexandru Zaharescu
+ PDF	A quasi-theta product in Ramanujans lost notebook	2003	Bruce C. Berndt Heng Huat Chan Alexandru Zaharescu
+	Metric invariants over Henselian valued fields	2003	Angel Popescu Nicolae Popescu Alexandru Zaharescu
+	Additive patterns in a multiplicative group in a finite field	2003	Geumlan Choi Alexandru Zaharescu
+	ON THE PARITY OF PARTITION FUNCTIONS	2003	Bruce C. Berndt Ae Ja Yee Alexandru Zaharescu
+	The distribution of patterns of inverses modulo a prime	2003	Cristian Cobeli S. M. Gonek Alexandru Zaharescu
+	Trace series on	2003	Angel Popescu Nicolae Popescu Alexandru Zaharescu
+ PDF	Pair Correlation of Squares in <i>p</i>-Adic Fields	2003	Alexandru Zaharescu
+	Transcendental divisors and their critical functions	2003	Angel Popescu Nicolae Popescu Alexandru Zaharescu
+ PDF	DISTRIBUTION OF GAPS BETWEEN THE INVERSES $\mathrm{mod} q$	2003	Christian Cobeli Marian Vâjâitu Alexandru Zaharescu
+	Correlation of fractional parts of n2a	2003	Alexandru Zaharescu
+ PDF	Good elements and metric invariants in $B^+ _{dR}$	2003	Victor Alexandru Nicolae Popescu Alexandru Zaharescu
+	The average length of a trajectory in a certain billiard in a flat two-torus	2003	Florin P. Boca Radu N. Gologan Alexandru Zaharescu
+ PDF	On the unicity of immediate maximal extensions of valued fields	2003	Marian Vâjâitu Alexandru Zaharescu
+ PDF	The jumping champions of the Farey series	2003	Cristian Cobeli Kevin Ford Alexandru Zaharescu
+	On the Parity of the Number of Partitions in Square Free Parts	2003	Alexandru Zaharescu
+	Sur le modele du gaz de Lorentz periodique	2003	Florin P. Boca Radu N. Gologan Alexandru Zaharescu
+ PDF	The distribution of the values of a rational function modulo a big prime	2003	Alexandru Zaharescu
+ PDF	A representation theorem for a class of rigid analytic functions	2003	Victor Alexandru Nicolae Popescu Alexandru Zaharescu
+	The relative size of consecutive odd denominators in Farey series.	2003	Cristian Cobeli Adrian Iordache Alexandru Zaharescu
+	Sequences of values of power series over $p$-adic fields	2003	Marian Vâjâitu Alexandru Zaharescu
+	Spacing distribution along curves	2003	Alexandru Zaharescu
+	Nonarchimedean valuations on $bf R$ and $bf C$	2003	Marian Vâjâitu Alexandru Zaharescu
+	The distribution of the free path lengths in the periodic two-dimensional Lorentz gas in the small-scatterer limit	2003	Florin P. Boca Alexandru Zaharescu
+	None	2003	Alexandru Zaharescu
+ PDF	Metric locally constant functions	2002	Marian Vâjâitu Alexandru Zaharescu
+	An integral of Dedekind eta-functions in Ramanujan's lost notebook	2002	Bruce C. Berndt Alexandru Zaharescu
+	On Ramanujan’s continued fraction for (𝑞²;𝑞³)_{∞}/(𝑞;𝑞³)_{∞}	2002	George E. Andrews Bruce C. Berndt Jaebum Sohn Ae Ja Yee Alexandru Zaharescu
+	A Class of Irreducible Polynomials	2002	Marius Cavachi Marian Vâjâitu Alexandru Zaharescu
+ PDF	Distinct gaps between fractional parts of sequences	2002	Marian Vâjâitu Alexandru Zaharescu
+	Distribution of Values of Rational Maps on the F p -Points on an Affine Curve	2002	Marian Vâjâitu Alexandru Zaharescu
+ PDF	A multi-variable theta product	2002	Bruce C. Berndt Alexandru Zaharescu
+	Some remarks on Landau-Siegel zeros	2002	Peter Sarnak Alexandru Zaharescu
+	An integral of Dedekind An integral of Dedekind An integral of Dedekind An integral of Dedekind eta-functions in Ramanujans lost notebook	2002	Bruce C. Berndt Alexandru Zaharescu
+	Explicit formulas for the pair correlation of zeros of functions in the Selberg class	2002	Ram Murty Alexandru Zaharescu
+ PDF Chat	The distribution of spacings between fractional parts of lacunary sequences	2002	Zeév Rudnick Alexandru Zaharescu
+	On the index of Farey sequences	2002	Florin P. Boca Radu N. Gologan Alexandru Zaharescu
+	None	2002	Scott Ahlgren Bruce C Berndt Ae Ja Yee Alexandru Zaharescu
+ PDF	Chains of metric invariants over a local field	2002	Angel Popescu Nicolae Popescu Marian Vâjâitu Alexandru Zaharescu
+ PDF	Differences between powers of a primitive root	2002	Marian Vâjâitu Alexandru Zaharescu
+ PDF	A note on GL2 converse theorems	2002	Adrian Diaconu Alberto Perelli Alexandru Zaharescu
+	A class of algebraic-exponential congruences modulo p	2002	Cristian Cobeli Marian Vâjâitu Alexandru Zaharescu
+	A question of the distribution of points on a curve over a finite field.	2002	Cristian Cobeli Alexandru Zaharescu
+	Almost intersections of curves mod $p$	2002	Alexandru Zaharescu
+	Norm estimates of almost Mathieu operators	2002	Florin P. Boca Alexandru Zaharescu
+	On the distribution of the Farey sequence with odd denominators	2002	Florin P. Boca Cristian Cobeli Alexandru Zaharescu
+	On the index of Farey sequences	2002	Florin P. Boca Radu N. Gologan Alexandru Zaharescu
+	On the pair correlation for fractional parts of vector sequences	2001	Florin P. Boca Alexandru Zaharescu
+	The h-spacing distribution between Farey points	2001	Volker Augustin Florin P. Boca Cristian Cobeli Alexandru Zaharescu
+ PDF Chat	The distribution of spacings between the fractional parts of n 2 α	2001	Zeév Rudnick Peter Sarnak Alexandru Zaharescu
+	Trace on Cp	2001	Victor Alexandru Nicolae Popescu Alexandru Zaharescu
+	On the Distribution of Small Powers of a Primitive Root	2001	Cristian Cobeli S. M. Gonek Alexandru Zaharescu
+	Generalization of a problem of Lehmer	2001	Cristian Cobeli Alexandru Zaharescu
+	Distribution of a Sparse Set of Fractions Modulo <i>q</i>	2001	Cristian Cobeli Alexandru Zaharescu
+ PDF	The Generating Degree of ℂ<sub><i>p</i></sub>	2001	Victor Alexandru Nicolae Popescu Alexandru Zaharescu
+	A conjecture of R. R. Hall on Farey points	2001	Florin P. Boca Cristian Cobeli Alexandru Zaharescu
+ PDF	Averages of short exponential sums, II	2001	Alexandru Zaharescu
+ PDF	On the distribution of the F<sub>p</sub>-points on an affine curve in r dimensions	2001	Cristian Cobeli Alexandru Zaharescu
+	On a class of subgroups of bf R associated with subsets of prime numbers	2001	Florin P. Boca Alexandru Zaharescu
+	Metric invariants in $B^+_rm dR$ associated to differential operators	2001	Victor Alexandru Nicolae Popescu Alexandru Zaharescu
+	Integer points unusually close to elliptic curves	2001	Marian Vâjâitu Alexandru Zaharescu
+	Integer points near hyperelliptic curves	2001	Marian Vâjâitu Alexandru Zaharescu
+	Groups of isometries on ultrametric spaces	2001	Marian Vâjâitu Alexandru Zaharescu
+	Galois groups with metric constraints	2001	Marian Vâjâitu Alexandru Zaharescu
+	Equidistribution of rational functions of primes mod $q$	2001	Cristian Cobeli Marian Vâjâitu Alexandru Zaharescu
+	$L$-functions associated to Galois orbits in $bf C_p$	2001	Marian Vâjâitu Alexandru Zaharescu
+	Unimodular matrices whose entries are squares of those of a unimodular matrix	2001	A. Du anescu Viorel Vâjâitu Alexandru Zaharescu
+	The average length of a trajectory in a certain billiard in a flat two-torus	2001	Florin P. Boca Radu N. Gologan Alexandru Zaharescu
+	The order of inverses mod <i>q</i>	2000	Cristian Cobeli Alexandru Zaharescu
+	The distribution of spacings between small powers of a primitive root	2000	Zeév Rudnick Alexandru Zaharescu
+	Pair correlation of values of rational functions (mod p)	2000	Florin P. Boca Alexandru Zaharescu
+	Distribution of Lattice Points Visible from the Origin	2000	Florin P. Boca Alexandru Zaharescu Cristian Cobeli
+ PDF Chat	Factors of Type III and the Distribution of Prime Numbers	2000	Florin P. Boca Alexandru Zaharescu
+	Average estimates for the number of tuples of inverses $rm mod p$ in short intervals	2000	Cristian Cobeli Marian Vâjâitu Alexandru Zaharescu
+	The analytic continuation problem for $p$-adic $L$-functions	2000	Marian Vâjâitu Alexandru Zaharescu
+	Density of zeros of $L(s,i)$ near $s=1$ and the smallest character nonresidue	2000	Alexandru Zaharescu
+	The sequence $n!pmod p$	2000	Cristian Cobeli Marian Vâjâitu Alexandru Zaharescu
+	A metric symbol for pairs of polynomials over local fields	2000	Alexandru Zaharescu
+	An ErdH os-Turán inequality in $p$-adic fields	2000	Marian Vâjâitu Alexandru Zaharescu
+ PDF	A finiteness theorem for a class of exponential congruences	1999	Marian Vâjâitu Alexandru Zaharescu
+ PDF	Generating elements for $B^+_{dR}$	1999	Adrian Iovită Alexandru Zaharescu
+ PDF	None	1999	Adrian Iovită Alexandru Zaharescu
+	The distribution of spacings between fractional parts of lacunary sequences	1999	Zeév Rudnick Alexandru Zaharescu
+ PDF	Averages of short exponential sums	1999	Alexandru Zaharescu
+ PDF	A metric result on the pair correlation of fractional parts of sequences	1999	Zeév Rudnick Alexandru Zaharescu
+	On the Closed Subfields ofCp	1998	Victor Alexandru Nicolae Popescu Alexandru Zaharescu
+ PDF	On the distribution of primitive roots mod p	1998	Cristian Cobeli Alexandru Zaharescu
+	Facteurs de type III associés aux ensembles de nombres premiers	1997	Florin P. Boca Alexandru Zaharescu
+	On the main invariant of an element over a local field.	1997	Nicolae Popescu Alexandru Zaharescu
+	Small values ofn 2α (mod 1)	1995	Alexandru Zaharescu
+	On the Structure of the Irreducible Polynomials Over Local Fields	1995	Nicolae Popescu Alexandru Zaharescu
+	Completions of r.a.t.-Valued Fields of Rational Functions	1995	Adrian Iovită Alexandru Zaharescu
+	Quadratic diophantine inequalities	1995	Alexandru Zaharescu
+	On a class of valuations on $K(X)$	1994	Nicolae Popescu Alexandru Zaharescu
+	Ilyeff's Conjecture on a Corona	1993	Viorel Vâjâitu Alexandru Zaharescu
+ PDF	All valuations on $K(X)$	1990	Victor Alexandru Nicolae Popescu Alexandru Zaharescu
+	Grahm's conjecture under riemann hypothesis	1989	Cristian Cobeli Marian Vâjâitu Alexandru Zaharescu
+	Representation of arbitrary functions by graph-continuous Darboux functions	1983	Alexandru Zaharescu

Common Coauthors

Coauthor	Papers Together
Cristian Cobeli	59
Bruce C. Berndt	59
Marian Vâjâitu	53
Atul Dixit	33
Sun Kim	32
Florin P. Boca	32
Emre Alkan	27
Nicolae Popescu	26
Victor Alexandru	25
Nicolas Robles	20
Arindam Roy	19
Mohammad Zaki	18
Kyle Pratt	17
Andrew Ledoan	12
Maosheng Xiong	12
Sneha Chaubey	11
Kevin Ford	11
Hung M. Bui	10
Martino Fassina	9
Alexander R. Dunn	8
Kit-Ho Mak	8
Igor E. Shparlinski	8
Nicolae Ciprian Bonciocat	8
Jayadev S. Athreya	8
Anca Iuliana Bonciocat	8
Amita Malik	8
Adrian Iovită	8
Junxian Li	7
Debmalya Basak	7
Dirk Zeindler	7
Angel Popescu	7
Arindam Roy	6
Radu N. Gologan	6
Rajat Gupta	6
Jack Anderson	6
Florin Stan	6
Zeév Rudnick	5
Raghavendra N. Bhat	5
Ae Ja Yee	5
A. Dong	5
Jackson S. Morrow	5
Maria Năstăsescu	5
O-Yeat Chan	4
Geumlan Choi	4
George Shakan	4
Ilya D. Shkredov	4
Albert Tamazyan	4
Bryce Kerr	4
Jesse Thorner	4
Youness Lamzouri	4

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Multiplicative Number Theory	1980	H. Davenport	48
+	On Some Exponential Sums	1948	André Weil	45
+	Distribution of Lattice Points Visible from the Origin	2000	Florin P. Boca Alexandru Zaharescu Cristian Cobeli	41
+	The lost notebook and other unpublished papers	1989	Srinivasa Ramanujan Aiyangar George E. Andrews	39
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown	37
+	An Introduction to the Theory of Numbers. By G. H. Hardy and E. M. Wright. 2nd edition. Pp. xvi, 407 25s. 1945. (Oxford)	1946	T. A. A. B.	32
+	On Kloosterman's sum	1961	T. Estermann	30
+	The h-spacing distribution between Farey points	2001	Volker Augustin Florin P. Boca Cristian Cobeli Alexandru Zaharescu	27
+ PDF	An introduction to the theory of numbers	1960	G. H. Hardy	25
+	A conjecture of R. R. Hall on Farey points	2001	Florin P. Boca Cristian Cobeli Alexandru Zaharescu	23
+	The Pair Correlation Function of Fractional Parts of Polynomials	1998	Ze x E v Rudnick Peter Sarnak	22
+	On Exponential Sums in Finite Fields	1966	Enrico Bombieri	21
+ PDF Chat	The distribution of spacings between the fractional parts of n 2 α	2001	Zeév Rudnick Peter Sarnak Alexandru Zaharescu	21
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	20
+ PDF	On consecutive Farey arcs	1984	Robert E. Hall Gérald Tenenbaum	19
+	MULTIPLICATIVE NUMBER THEORY	1970	Enrico Bombieri	18
+	On the Closed Subfields ofCp	1998	Victor Alexandru Nicolae Popescu Alexandru Zaharescu	18
+	Zeros of polynomials over local fields—The Galois action	1970	James Ax	18
+	The average length of a trajectory in a certain billiard in a flat two-torus	2003	Florin P. Boca Radu N. Gologan Alexandru Zaharescu	16
+ PDF	On consecutive Farey arcs II	1994	Robert E. Hall	16
+	Zeros of principal L-functions and random matrix theory	1996	Zeév Rudnick Peter Sarnak	16
+ PDF	Zeroes of zeta functions and symmetry	1999	Nicholas Michael Katz Peter Sarnak	16
+ PDF Chat	THE CORRELATIONS OF FAREY FRACTIONS	2005	Florin P. Boca Alexandru Zaharescu	15
+ PDF Chat	The Statistics of the Trajectory of a Certain Billiard in a Flat Two-Torus	2003	Florin P. Boca Radu N. Gologan Alexandru Zaharescu	15
+	On Automorphisms of Local Fields	1969	Shankar Sen	15
+ PDF	Identities involving the coefficients of a class of Dirichlet series. IV	1970	Bruce C. Berndt	15
+	Hecke's Functional Equation and Arithmetical Identities	1961	K. Chandrasekharan Raghavan Narasimhan	15
+ PDF Chat	A note on Farey fractions with odd denominators	2002	Alan Haynes	15
+	An Asymptotic Formula in the Theory of Numbers	1957	C. Hooley	14
+	Weighted divisor sums and Bessel function series, II	2011	Bruce C. Berndt Sun Kim Alexandru Zaharescu	14
+	Ramanujan’s Notebooks: Part V	1997	Bruce C. Berndt	14
+ PDF	Weighted Divisor Sums and Bessel Function Series	2006	Bruce C. Berndt Alexandru Zaharescu	14
+ PDF	The index of a Farey sequence	2003	R. R. Hall Peter Shiu	14
+ PDF	An Introduction To The Theory Of Numbers	2008	G. H. Hardy E. M. Wright	14
+	On the Structure of the Irreducible Polynomials Over Local Fields	1995	Nicolae Popescu Alexandru Zaharescu	13
+ PDF Chat	The distribution of spacings between quadratic residues	1999	Pär Kurlberg Zeév Rudnick	13
+ PDF	Sur une fonction transcendante et ses applications à la sommation de quelques séries	1904	Georges Voronoï	13
+	Algebraic Numbers and Algebraic Functions	1967	Emil Artin	12
+	Arithmetic of Weil curves	1974	Barry Mazur Peter Swinnerton‐Dyer	12
+	Trace on Cp	2001	Victor Alexandru Nicolae Popescu Alexandru Zaharescu	12
+	Correlation of fractional parts of n2a	2003	Alexandru Zaharescu	12
+ PDF Chat	The Distribution of the Free Path Lengths in the Periodic Two-Dimensional Lorentz Gas in the Small-Scatterer Limit	2006	Florin P. Boca Alexandru Zaharescu	12
+	On the distribution of primes in short intervals	1976	P. X. Gallagher	11
+	Ten Lectures on the Interface between Analytic Number Theory and Harmonic Analysis	1994	Hugh L. Montgomery	11
+	Weighted divisor sums and Bessel function series. III	2013	Bruce C. Berndt Sun Kim Alexandru Zaharescu	11
+	Circle and divisor problems, and double series of Bessel functions	2013	Bruce C. Berndt Sun Kim Alexandru Zaharescu	11
+	None	2001	M. N. Huxley Anatoly Zhigljavsky	11
+	Uniform distribution of sequences	1974	L. Kuipers Harald Niederreiter	11
+ PDF	On the distribution of the Farey sequence with odd denominators	2003	Florian P. Boca Christian Cobeli Alexandru Zaharescu	10
+	Pair correlation of values of rational functions (mod p)	2000	Florin P. Boca Alexandru Zaharescu	10