Akshaa Vatwani

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All published works

Action	Title	Year	Authors
+	On the refined Koblitz conjecture	2025	Sampa Dey Arnab Saha Jyothsnaa Sivaraman Akshaa Vatwani
+ PDF Chat	Equivalence between the functional equation and Voronoï-type summation identities for a class of <i>L</i>-functions	2024	Arindam Roy Jagannath Sahoo Akshaa Vatwani
+	Corrigendum to “A simple proof of the Wiener–Ikehara Tauberian Theorem” [Expo. Math. 42 (2024) 125570]	2024	M. Ram Murty Jagannath Sahoo Akshaa Vatwani
+	A simple proof of the Wiener–Ikehara Tauberian Theorem	2024	M. Ram Murty Jagannath Sahoo Akshaa Vatwani
+	Riesz-type criteria for <i>L</i>-functions in the Selberg class	2023	Shivajee Gupta Akshaa Vatwani
+	Limitations to equidistribution in arithmetic progressions	2023	Aditi Savalia Akshaa Vatwani
+	Voronoi summation formula for the generalized divisor function $σ_{z}^{(k)}(n)$	2023	Atul Dixit Bibekananda Maji Akshaa Vatwani
+ PDF Chat	Joint extreme values of L-functions	2022	Kamalakshya Mahatab Łukasz Pańkowski Akshaa Vatwani
+ PDF Chat	A modular relation involving non-trivial zeros of the Dedekind zeta function, and the generalized Riemann hypothesis	2022	Atul Dixit Shivajee Gupta Akshaa Vatwani
+	A modular relation involving non-trivial zeros of the Dedekind zeta function, and the Generalized Riemann Hypothesis	2022	Atul Dixit Shivajee Gupta Akshaa Vatwani
+	Riesz type criteria for $L$-functions in the Selberg class	2022	Shivajee Gupta Akshaa Vatwani
+	Zeros of Dirichlet polynomials	2020	Arindam Roy Akshaa Vatwani
+	On generalizations of the Titchmarsh divisor problem	2020	Akshaa Vatwani Peng‐Jie Wong
+	Joint Extreme values of $L$-functions	2020	Kamalakshya Mahatab Łukasz Pańkowski Akshaa Vatwani
+	Zeros of Dirichlet polynomials	2019	Arindam Roy Akshaa Vatwani
+	Zeros of partial sums of L-functions	2019	Arindam Roy Akshaa Vatwani
+	Zeros of Dirichlet polynomials	2019	Arindam Roy Akshaa Vatwani
+	Variants of equidistribution in arithmetic progression and the twin prime conjecture	2018	Akshaa Vatwani
+	Zeros of partial sums of $L$-functions.	2018	Arindam Roy Akshaa Vatwani
+ PDF Chat	A remark on the Lang-Trotter and Artin conjectures	2018	M. Ram Murty Akshaa Vatwani
+	A Smooth Selberg Sieve and Applications	2018	M. Ram Murty Akshaa Vatwani
+	Zeros of partial sums of $L$-functions	2018	Arindam Roy Akshaa Vatwani
+ PDF Chat	A higher rank Selberg sieve and applications	2017	Akshaa Vatwani
+	Twin primes and the parity problem	2017	M. Ram Murty Akshaa Vatwani
+ PDF Chat	A higher rank Selberg sieve with an additive twist and applications	2017	M. Ram Murty Akshaa Vatwani
+	Patterns of primes in Chebotarev sets	2017	Akshaa Vatwani Peng‐Jie Wong
+	Bounded gaps between Gaussian primes	2016	Akshaa Vatwani
+	Higher rank sieves and applications	2016	Akshaa Vatwani
+	An elliptic analogue of a theorem of Hecke	2014	M. Ram Murty Akshaa Vatwani
+	The Least Prime Congruent to One Modulo <em>n</em>	2011	R. Thangadurai Akshaa Vatwani

Common Coauthors

Coauthor	Papers Together
M. Ram Murty	5
Arindam Roy	5
Shivajee Gupta	4
Atul Dixit	3
Jagannath Sahoo	3
Peng‐Jie Wong	2
Łukasz Pańkowski	2
Kamalakshya Mahatab	2
Arindam Roy	2
M. Ram Murty	1
Bibekananda Maji	1
Sampa Dey	1
Jyothsnaa Sivaraman	1
R. Thangadurai	1
Aditi Savalia	1
Arnab Saha	1
M. Ram Murty	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Variants of the Selberg sieve, and bounded intervals containing many primes	2014	DHJ Polymath	9
+ PDF Chat	Bounded gaps between primes	2014	Zhang Yitang	7
+ PDF Chat	Small gaps between primes	2014	James Maynard	7
+	Introduction to Analytic and Probabilistic Number Theory	2015	Gérald Tenenbaum	6
+ PDF Chat	WHEN DOES THE BOMBIERI–VINOGRADOV THEOREM HOLD FOR A GIVEN MULTIPLICATIVE FUNCTION?	2018	Andrew Granville Xuancheng Shao	5
+	Opera de Cribro	2010	John Friedlander Henryk Iwaniec	5
+	A Brun-Titschmarsh theorem for multiplicative functions.	1980	Peter Shiu	5
+	Simple Analytic Proof of the Prime Number Theorem	1980	Donald J. Newman	5
+ PDF Chat	Mean values of multiplicative functions	2002	Hugh L. Montgomery R. C. Vaughan	4
+ PDF Chat	SMOOTH‐SUPPORTED MULTIPLICATIVE FUNCTIONS IN ARITHMETIC PROGRESSIONS BEYOND THE ‐BARRIER	2017	Sary Drappeau Andrew Granville Xuancheng Shao	4
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown	4
+	On some approximative dirichlet-polynomials in the theory of the zeta-function of Riemann	1948	P. Túrán	4
+	Zeros of approximations to the zeta function	1983	Hugh L. Montgomery	4
+ PDF Chat	Primes in arithmetic progressions to large moduli	1986	Enrico Bombieri John Friedlander Henryk Iwaniec	4
+	Almost‐prime <i>k</i> ‐tuples	1997	D. R. Heath‐Brown	4
+	On the value-distributions of logarithmic derivatives of Dedekind zeta functions	2017	Masahiro Mine	4
+ PDF Chat	A new proof of Halász’s theorem, and its consequences	2018	Andrew Granville Adam J. Harper K. Soundararajan	4
+ PDF Chat	A higher rank Selberg sieve and applications	2017	Akshaa Vatwani	3
+	Problems in Analytic Number Theory	2008	M. Ram Murty	3
+ PDF Chat	Bounded gaps between primes in Chebotarev sets	2014	Jesse Thorner	3
+ PDF Chat	The large sieve	1973	Hugh L. Montgomery R. C. Vaughan	3
+	The approximate functional equation for a class of zeta-functions	1963	K. Chandrasekharan Raghavan Narasimhan	3
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	3
+ PDF Chat	The divisor function over arithmetic progressions	1992	Étienne Fouvry Henryk Iwaniec Nicholas M. Katz	3
+	Problems in Algebraic Number Theory	2005	M. Ram Murty Jody Esmonde	3
+ PDF Chat	Bounded Gaps Between Primes of a Special Form	2015	Hongze Li Hao Pan	3
+ PDF Chat	Primes in tuples I	2009	D. A. Goldston J. Pintz C. Y. Yıldırım	3
+	A simple proof of the Wiener–Ikehara Tauberian Theorem	2024	M. Ram Murty Jagannath Sahoo Akshaa Vatwani	3
+	Primes in arithmetic progressions to large Moduli. II	1987	Enrico Bombieri John Friedlander Henryk Iwaniec	3
+	Twin primes and the parity problem	2017	M. Ram Murty Akshaa Vatwani	3
+	Bombieri-Vinogradov for multiplicative functions, and beyond the x1/2-barrier	2019	Andrew Granville Xuancheng Shao	3
+ PDF Chat	A higher rank Selberg sieve with an additive twist and applications	2017	M. Ram Murty Akshaa Vatwani	3
+	On the correlation of multiplicative and the sum of additive arithmetic functions	1994	P. D. T. A. Elliott	3
+ PDF Chat	THE LOGARITHMICALLY AVERAGED CHOWLA AND ELLIOTT CONJECTURES FOR TWO-POINT CORRELATIONS	2016	Terence Tao	3
+ PDF Chat	An averaged form of Chowla’s conjecture	2015	Kaisa Matomäki Maksym Radziwiłł Terence Tao	3
+	Riesz-type criteria and theta transformation analogues	2015	Atul Dixit Arindam Roy Alexandru Zaharescu	2
+	Zeros ofL-functions	1969	Hugh L. Montgomery	2
+ PDF Chat	Large values of Dirichlet polynomials, III	1975	M. N. Huxley	2
+ PDF Chat	Fast methods to compute the Riemann zeta function	2011	Ghaith A. Hiary	2
+	Additive and Multiplicative Functions on Shifted Primes	1989	Adolf Hildebrand	2
+	On the distribution of roots of Riemann zeta and allied functions, I	1969	Gábor Halász P. Túrán	2
+	Mean and large values of Dirichlet polynomials	1969	Hugh L. Montgomery	2
+ PDF Chat	On a theorem of Bombieri–Vinogradov type	1980	Étienne Fouvry Henryk Iwaniec	2
+	A ZERO DENSITY ESTIMATE FOR THE SELBERG CLASS	2007	Anirban Mukhopadhyay Srinivas Kotyada	2
+ PDF Chat	Zeros of sections of the zeta function. I	1966	Robert Spira	2
+ PDF Chat	Contributions to the theory of the riemann zeta-function and the theory of the distribution of primes	1916	G. H. Hardy J. E. Littlewood	2
+	Problems in Algebraic Number Theory	1999	Jody Esmonde M. Ram Murty	2
+ PDF Chat	Expansion problems of ordinary linear differential equations with auxiliary conditions at more than two points	1917	Charles E. Wilder	2
+ PDF Chat	On a class of functions that satisfies explicit formulae involving the Möbius function	2014	Patrick Kühn Nicolas Robles Arindam Roy	2
+	Ramanujan–Hardy–Littlewood–Riesz phenomena for Hecke forms	2015	Atul Dixit Arindam Roy Alexandru Zaharescu	2