Small gaps in coefficients of L-functions and B-free numbers in small intervals

Emmanuel Kowalski, Olivier Robert, Jie Wu

Type: Preprint

Publication Date: 2005-01-01

Citations: 18

DOI: https://doi.org/10.48550/arxiv.math/0507001

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Small gaps in coefficients of $L$-functions and $\mathfrak{B}$-free numbers in short intervals	2007	Emmanuel Kowalski Olivier Robert Jie Wu
+ PDF Chat	Small gaps in coefficients of L-functions and B-free numbers in short intervals	2006	Emmanuel Kowalski Olivier Robert Jie Wu
+ PDF Chat	Non-vanishing of Dirichlet $L$-functions with Moduli in Short Intervals and Arithmetic Progressions	2024	Debmalya Basak Alexandru Zaharescu
+	Computing Zeta Functions in Families of Ca, b.	2008	Wouter Castryck Hendrik Hubrechts Fréderik Vercauteren
+	Multiplicative functions in short intervals II	2020	Kaisa Matomäki Maksym Radziwiłł
+	Multiplicative functions in short intervals II	2020	Kaisa Matomäki Maksym Radziwiłł
+	A Variant of the Bombieri-Vinogradov Theorem in Short Intervals and Some Questions of Serre	2014	Jesse Thorner
+	Primes with a missing digit: distribution in arithmetic progressions and an application in sieve theory	2021	Kunjakanan Nath
+	Bombieri-type theorems for exponential sums over primes in short intervals and its application	2017	Yanjun Yao
+	Short Interval Results For Powerfree Polynomials Over Finite Fields	2023	Angel Kumchev Nathan McNew Ariana Park
+ PDF Chat	A variant of the Bombieri–Vinogradov theorem in short intervals and some questions of Serre	2016	Jesse Thorner
+	New estimates for exponential sums over multiplicative subgroups and intervals in prime fields	2020	Daniel Di Benedetto Moubariz Z. Garaev V. C. Garcia Diego González-Sánchez Igor E. Shparlinski Carlos Trujillo
+	New estimates for exponential sums over multiplicative subgroups and intervals in prime fields	2020	Daniel Di Benedetto Moubariz Z. Garaev V. C. Garcia Diego González-Sánchez Igor E. Shparlinski Carlos A. Trujillo
+	On primes, almost primes, and the Möbius function in short intervals	2023	Kaisa Matomäki
+	L-functions of exponential sums and Hasse polynomials	2021	Wei Cao
+	A survey of the alternating sum-of-divisors function	2011	László Tóth
+	A survey of the alternating sum-of-divisors function	2011	László Tóth
+	On two conjectures concerning squarefree numbers in arithmetic progressions	2015	Ramon M. Nunes
+	Real exponential sums over primes and prime gaps	2023	Luan Alberto Ferreira
+ PDF Chat	The behaviour of a certain additive function in large intervals between consecutive primes	2024	Michael Th. Rassias

Works That Cite This (17)

Action	Title	Year	Authors
+ PDF Chat	Fourier coefficients of cusp forms of half-integral weight	2012	Winfried Kohnen Yuk-Kam Lau Jie Wu
+ PDF Chat	Non-vanishing and sign changes of Hecke eigenvalues for Siegel cusp forms of genus two	2015	Emmanuel Kowalski Abhishek Saha Emmanuel Royer Jyoti Sengupta Jie Wu
+ PDF Chat	On the gaps between non-zero Fourier coefficients of cusp forms of higher weight	2016	Narasimha Kumar
+	The first simultaneous sign change and non-vanishing of Hecke eigenvalues of newforms	2019	Sanoli Gun Balesh Kumar Biplab Paul
+	On the typical size and cancellations among the coefficients of some modular forms	2018	Florian Luca Maksym Radziwiłł Igor E. Shparlinski
+ PDF Chat	Algebraic twists of modular forms and Hecke orbits	2015	Étienne Fouvry Emmanuel Kowalski Philippe Michel
+ PDF Chat	Variants of recognition problems for modular forms	2004	Emmanuel Kowalski
+	Distinguishing newforms by their Hecke eigenvalues	2021	Sanoli Gun V. Kumar Murty Biplab Paul
+	The number of Hecke eigenvalues of same signs	2008	Yuk-Kam Lau Jie Wu
+ PDF Chat	Random ordering in modulus of consecutive Hecke eigenvalues of primitive forms	2018	Yuri Bilu Jean-Marc Deshouillérs Sanoli Gun Florian Luca

Works Cited by This (29)

Action	Title	Year	Authors
+ PDF Chat	On the difference of consecutive terms of sequences defined by divisibility properties	1966	P. Erdős
+ PDF Chat	Numbers with a large prime factor	1999	Hongquan Liu Jie Wu
+	Van der Corput's Method of Exponential Sums	1991	S. W. Graham Grigori Kolesnik
+	Representation Theory: A First Course	1991	William Fulton
+	Topics in Classical Automorphic Forms	1997	Henryk Iwaniec
+	Nombres -libres dans les petits intervalles	1993	Jie Wu
+	None	2000	Patrick Sargos Jie Wu
+	Nonvanishing of Fourier coefficients of modular forms	2002	Emre Alkan
+	Exponential sums with monomials	1989	Étienne Fouvry Henryk Iwaniec
+ PDF Chat	A Test for Identifying Fourier Coefficients of Automorphic Forms and Application to Kloosterman Sums	2000	Andrew R. Booker