Ofir Gorodetsky

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All published works

Action	Title	Year	Authors
+ PDF Chat	A short proof of Helson's conjecture	2025	Ofir Gorodetsky Mo Dick Wong
+ PDF Chat	High and odd moments in the Erd\H{o}s--Kac theorem	2024	Ofir Gorodetsky
+	Smooth permutations and polynomials revisited	2024	Ofir Gorodetsky
+	On Erdős sums of almost primes	2024	Ofir Gorodetsky Jared Duker Lichtman Mo Dick Wong
+	The variance of integers without small prime factors in short intervals	2024	Ofir Gorodetsky
+ PDF Chat	Martingale central limit theorem for random multiplicative functions	2024	Ofir Gorodetsky Mo Dick Wong
+ PDF Chat	On an ErdŐs–Kac-Type Conjecture of Elliott	2024	Ofir Gorodetsky Lasse Grimmelt
+ PDF Chat	A short proof of Helson's conjecture	2024	Ofir Gorodetsky Mo Dick Wong
+ PDF Chat	Equidistribution of high traces of random matrices over finite fields and cancellation in character sums of high conductor	2024	Ofir Gorodetsky Valeriya Kovaleva
+ PDF Chat	Multiplicative arithmetic functions and the generalized Ewens measure	2024	Dor Elboim Ofir Gorodetsky
+ PDF Chat	Magic squares, the symmetric group and Möbius randomness	2024	Ofir Gorodetsky
+ PDF Chat	Smooth numbers and the Dickman ρ function	2023	Ofir Gorodetsky
+ PDF Chat	Smooth integers and de Bruijn's approximation Ʌ	2023	Ofir Gorodetsky
+ PDF Chat	Sums of two squares are strongly biased towards quadratic residues	2023	Ofir Gorodetsky
+	On Erdős sums of almost primes	2023	Ofir Gorodetsky Jared Duker Lichtman Mo Dick Wong
+	Equidistribution of high traces of random matrices over finite fields and cancellation in character sums of high conductor	2023	Ofir Gorodetsky Valeriya Kovaleva
+	On a conjecture of Elliott concerning a probabilistic variant of Titchmarsh's divisor problem	2023	Ofir Gorodetsky Lasse Grimmelt
+ PDF Chat	Squarefrees are Gaussian in short intervals	2022	Ofir Gorodetsky Alexander P. Mangerel Brad Rodgers
+	Uniform estimates for smooth polynomials over finite fields	2022	Ofir Gorodetsky
+	Friable permutations and polynomials revisited	2022	Ofir Gorodetsky
+	Smooth integers and de Bruijn's approximation $Λ$	2022	Ofir Gorodetsky
+	Smooth integers and the Dickman $ρ$ function	2022	Ofir Gorodetsky
+ PDF Chat	Squarefrees are Gaussian in short intervals	2021	Ofir Gorodetsky Alexander P. Mangerel Brad Rodgers
+ PDF Chat	Sums of two squares are strongly biased towards quadratic residues	2021	Ofir Gorodetsky
+ PDF Chat	New Representations for all Sporadic Apéry-Like Sequences, With Applications to Congruences	2021	Ofir Gorodetsky
+	Uniform estimates for almost primes over finite fields	2021	Dor Elboim Ofir Gorodetsky
+	Magic squares and the symmetric group	2021	Ofir Gorodetsky
+	New representations for all sporadic Ap\'ery-like sequences, with applications to congruences	2021	Ofir Gorodetsky
+ PDF Chat	On the variance of squarefree integers in short intervals and arithmetic progressions	2021	Ofir Gorodetsky Kaisa Matomäki Maksym Radziwiłł Brad Rodgers
+ PDF Chat	The variance of the number of sums of two squares in [inline-graphic 01] [T] in short intervals	2021	Ofir Gorodetsky Brad Rodgers
+	Magic squares, the symmetric group and Möbius randomness	2021	Ofir Gorodetsky
+	The variance of integers without small prime factors in short intervals	2021	Ofir Gorodetsky
+	New representations for all sporadic Apéry-like sequences, with applications to congruences	2021	Ofir Gorodetsky
+	Sums of two squares are strongly biased towards quadratic residues	2021	Ofir Gorodetsky
+	Traces of powers of matrices over finite fields	2020	Ofir Gorodetsky Brad Rodgers
+ PDF Chat	MEAN VALUES OF ARITHMETIC FUNCTIONS IN SHORT INTERVALS AND IN ARITHMETIC PROGRESSIONS IN THE LARGE‐DEGREE LIMIT	2020	Ofir Gorodetsky
+	Uniform estimates for almost primes over finite fields	2020	Dor Elboim Ofir Gorodetsky
+ PDF Chat	Correlation of arithmetic functions over $$\mathbb {F}_q[T]$$	2019	Ofir Gorodetsky Will Sawin
+	Multiplicative arithmetic functions and the Ewens measure	2019	Dor Elboim Ofir Gorodetsky
+	Chebotarev density theorem in short intervals for extensions of 𝔽_{𝕢}(𝕋)	2019	Lior Bary‐Soroker Ofir Gorodetsky Taelin Karidi Will Sawin
+ PDF Chat	q-Congruences, with applications to supercongruences and the cyclic sieving phenomenon	2019	Ofir Gorodetsky
+	Multiplicative arithmetic functions and the generalized Ewens measure	2019	Dor Elboim Ofir Gorodetsky
+	Irreducible polynomials 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:msup><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mi>r</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:msub></mml:math> with three prescribed coefficients	2018	Ofir Gorodetsky
+ PDF Chat	Roots of Polynomials and the Derangement Problem	2018	Lior Bary‐Soroker Ofir Gorodetsky
+	Correlation of Arithmetic Functions over F_q[T]	2018	Ofir Gorodetsky Will Sawin
+	The variance of the number of sums of two squares in $\mathbb{F}_q[T]$ in short intervals	2018	Ofir Gorodetsky Brad Rodgers
+	Mean Values of Arithmetic Functions of Polynomials in Short Intervals and in Arithmetic Progressions	2018	Ofir Gorodetsky
+ PDF Chat	On certain degenerate Whittaker Models for cuspidal representations of $${\mathrm{GL}_{k \cdot n}(\mathbb {F}_q)}$$ GL k · n ( F q )	2018	Ofir Gorodetsky Zahi Hazan
+ PDF Chat	A POLYNOMIAL ANALOGUE OF LANDAU'S THEOREM AND RELATED PROBLEMS	2017	Ofir Gorodetsky
+	On a q-Identity Arising from the Dimension of a Representation of GL(n) over a Finite Field	2016	Ofir Gorodetsky Zahi Hazan
+	On a q-Identity Arising from the Dimension of a Representation of GL(n) over a Finite Field	2016	Ofir Gorodetsky Zahi Hazan
+	Problems in Elementary Number Theory	2009	Andrei Frimu Daniel Kohen David Kotik Hojoo Lee Soo‐Hong Lee Cosmin Pohoata Ho Yun Chung Siu Hong Kong Peter Vandendriessche Belgium

Common Coauthors

Coauthor	Papers Together
Brad Rodgers	6
Dor Elboim	5
Mo Dick Wong	5
Will Sawin	3
Zahi Hazan	3
Lasse Grimmelt	2
Alexander P. Mangerel	2
Lior Bary‐Soroker	2
Valeriya Kovaleva	2
Jared Duker Lichtman	2
Kaisa Matomäki	1
Darij Grinberg	1
David Kotik	1
Siu Hong	1
Ho Yun Chung	1
Soo‐Hong Lee	1
Hojoo Lee	1
Daniel Kohen	1
Kong Peter	1
Harun Siljak Bosnia	1
Maksym Radziwiłł	1
Taelin Karidi	1
Cosmin Pohoata	1
Andrei Frimu	1
Vandendriessche Belgium	1
Alexander Remorov	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Introduction to Analytic and Probabilistic Number Theory	2015	Gérald Tenenbaum	10
+ PDF Chat	The Variance of the Number of Prime Polynomials in Short Intervals and in Residue Classes	2012	Jonathan P. Keating Zeév Rudnick	9
+	Number Theory in Function Fields	2002	Michael Rosen	8
+ PDF Chat	Arithmetic functions in short intervals and the symmetric group	2018	Brad Rodgers	7
+	Multiplicative Number Theory I: Classical Theory	2006	Hugh L. Montgomery R. C. Vaughan	7
+	Integers free of large prime factors and the Riemann hypothesis	1984	Adolf Hildebrand	7
+	Enumerative Combinatorics	1999	Richard P. Stanley Sergey Fomin	6
+	The Distribution of Irreducibles in GF [ q,x ]	1965	David R. Hayes	6
+ PDF Chat	Some problems of analytic number theory	1976	K. Ramachandra	6
+	The variance of the number of prime polynomials in short intervals and in residue classes	2012	Jonathan P. Keating Zeév Rudnick	5
+	On Random Matrices from the Compact Classical Groups	1997	Kurt Johansson	5
+ PDF Chat	The distribution of irreducibles in 𝐺𝐹[𝑞,𝑥]	1965	David R. Hayes	5
+ PDF Chat	Squarefree polynomials and Möbius values in short intervals and arithmetic progressions	2016	Jonathan P. Keating Zeév Rudnick	5
+ PDF Chat	Congruences for Catalan and Motzkin numbers and related sequences	2005	Emeric Deutsch Bruce E. Sagan	4
+ PDF Chat	Supercongruences for the Almkvist–Zudilin numbers	2016	Tewodros Amdeberhan Roberto Tauraso	4
+	Cycle type of random permutations: A toolkit	2021	Kevin Ford	4
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown	4
+ PDF Chat	A supercongruence for generalized Domb numbers	2013	Robert Osburn Brundaban Sahu	4
+	Sur le nombre des entiers sans grand facteur premier	1989	Éric Saïas	4
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	4
+ PDF Chat	Secular coefficients and the holomorphic multiplicative chaos	2023	Joseph Najnudel Elliot Paquette Nick Simm	4
+ PDF Chat	Generalizations of Clausen's Formula and algebraic transformations of Calabi–Yau differential equations	2011	Gert Almkvist Duco van Straten Wadim Zudilin	4
+ PDF Chat	A POLYNOMIAL ANALOGUE OF LANDAU'S THEOREM AND RELATED PROBLEMS	2017	Ofir Gorodetsky	4
+	Additive Number Theory of Polynomials Over a Finite Field	1991	Gove Effinger David R. Hayes	4
+	Extensions of Billingsley's Theorem via Multi-Intensities	2014	Richard Arratia Fred Kochman Victor S. Miller	4
+ PDF Chat	Prime polynomials in short intervals and in arithmetic progressions	2015	Efrat Bank Lior Bary‐Soroker Lior Rosenzweig	4
+	Basic Number Theory	1967	André Weil	3
+ PDF Chat	On integers free of large prime factors	1986	Adolf Hildebrand Gérald Tenenbaum	3
+ PDF Chat	Limit shapes of Gibbs distributions on the set of integer partitions: The expansive case	2008	Michael Erlihson Boris L. Granovsky	3
+	On the number of positive integers ≦ x and free of prime factors > y	1986	Adolf Hildebrand	3
+	Das asymptotische Verhalten von Summen �ber multiplikative Funktionen	1961	Eduard Wirsing	3
+ PDF Chat	On the Averages of Characteristic Polynomials From Classical Groups	2006	Daniel Bump Alex Gamburd	3
+	On the Asymptotic Distribution of Large Prime Factors	1993	Peter Donnelly Geoffrey Grimmett	3
+	Sur la distribution des nombres premiers	1901	Helge Koch	3
+ PDF Chat	On the number of nilpotent matrices with coefficients in a finite field	1961	Murray Gerstenhaber	3
+	THE DISTRIBUTION OF PRIME NUMBERS	2007	K. Soundararajan	3
+	On the eigenvalues of random matrices	1994	Persi Diaconis Mehrdad Shahshahani	3
+	CONGRUENCES RELATED TO MODULAR FORMS	2010	Helena Verrill	3
+ PDF Chat	Mixtures of Dirichlet Processes with Applications to Bayesian Nonparametric Problems	1974	C. Antoniak	3
+	On the Picard-Fuchs equation and the formal brauer group of certain ellipticK3-surfaces	1985	Jan Stienstra Frits Beukers	3
+	Another congruence for the Apéry numbers	1987	Frits Beukers	3
+ PDF Chat	Exponential sums with multiplicative coefficients	1977	Hugh L. Montgomery R. C. Vaughan	3
+ PDF Chat	Some arithmetic properties of short random walk integrals	2011	Jonathan M. Borwein Dirk Nuyens Armin Straub J. G. Wan	3
+	SUMMATION OF THE VALUES OF ARITHMETIC FUNCTIONS	1983	A A Marenich	3
+ PDF Chat	The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator	1997	Jim Pitman Marc Yor	3
+	A Problem of Rankin on Sums of Powers of Cusp-Form Coefficients	1991	R. W. K. Odoni	3
+ PDF Chat	High powers of random elements of compact Lie groups	1997	Eric M. Rains	3
+	Logarithmic Combinatorial Structures: A Probabilistic Approach	2003	Richard Arratia A. D. Barbour Simon Tavaré	3
+ PDF Chat	Cycle length distributions in random permutations with diverging cycle weights	2013	Steffen Dereich Peter Mörters	3
+ PDF Chat	Positivity of rational functions and their diagonals	2014	Armin Straub Wadim Zudilin	3