Imagen de Portada

Variance of GL(2) Fourier coefficients in arithmetic progressions

Fuente: arXiv

Guardado en:

Detalles Bibliográficos
Autor principal:	Montaigu, Laurent
Formato:	Preprint
Publicado:	2026
Materias:	Number Theory
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Ejemplares similares

Variance of square-full integers in short intervals and arithmetic progressions
por: Meemark, Yotsanan, et al.
Publicado: (2025)

Rankin--Selberg coefficients in arithmetic progressions modulo prime powers
por: Zhu, Tengyou
Publicado: (2026)

On signs of Fourier coefficients on GL(n)
por: Lesesvre, Didier, et al.
Publicado: (2025)

On the sum of fifth powers in arithmetic progression
por: Torcomian, Lucas Villagra
Publicado: (2024)

Primes in arithmetic progressions on average I
por: Parry, Tomos
Publicado: (2024)

Primes in arithmetic progressions on average II
por: Parry, Tomos
Publicado: (2024)

Discrepancy in modular arithmetic progressions
por: Fox, Jacob, et al.
Publicado: (2021)

On the length of an arithmetic progression of the form ${3^x+2^y}$
por: Chen, Hongnan, et al.
Publicado: (2024)

Sign changes of the Liouville function in arithmetic progressions
por: Ford, Kevin, et al.
Publicado: (2026)

The distribution of $d_4(n)$ in arithmetic progressions
por: Parry, Tomos
Publicado: (2024)

Euler constants from primes in arithmetic progression
por: Languasco, Alessandro, et al.
Publicado: (2024)

Nonabelian Fourier Kernels on $\mathrm{SL}_2$ and $\mathrm{GL}_2$
por: Luo, Zhilin, et al.
Publicado: (2024)

On the exponent of distribution for convolutions of $\operatorname{GL}(2)$ coefficients to smooth moduli
por: Yin, Rongjie, et al.
Publicado: (2026)

Bilinear sums with $GL(2)$ coefficients and the exponent of distribution of $d_3$
por: Sharma, Prahlad
Publicado: (2023)

Three-term arithmetic progressions of consecutive powerful numbers
por: van Doorn, Wouter
Publicado: (2026)

A conditional bound for the least prime in an arithmetic progression
por: Bruna, Matías
Publicado: (2026)

On the variance of squarefree integers in short intervals and arithmetic progressions
por: Gorodetsky, Ofir, et al.
Publicado: (2020)

On $\rm GL_3$ Fourier coefficients over values of mixed powers
por: Yu, Yanxue
Publicado: (2025)

A note on arithmetic progressions with restricted differences
por: Conlon, David, et al.
Publicado: (2026)

Improved bounds for five-term arithmetic progressions
por: Leng, James, et al.
Publicado: (2023)

Finding arithmetic progressions in dense sets of integers
por: Peluse, Sarah
Publicado: (2025)

On quotients of numerical semigroups for almost arithmetic progressions
por: Liu, Feihu
Publicado: (2023)

Primes in arithmetic progressions to large moduli and refinements of Harman's sieve
por: Li, Runbo
Publicado: (2026)

Mean-square values of the Riemann zeta function on arithmetic progressions
por: Kobayashi, Hirotaka
Publicado: (2023)

A note on the distribution of $d_3(n)$ in arithmetic progressions
por: Parry, Tomos
Publicado: (2024)

The divisor function along arithmetic progressions and binary cubic polynomials
por: Grimmelt, Lasse, et al.
Publicado: (2025)

Primes in arithmetic progressions to smooth moduli: A minorant version
por: Li, Runbo
Publicado: (2025)

Effective results for polynomial values of (alternating) power sums of arithmetic progressions
por: Bazsó, András
Publicado: (2024)

The relative entropy of primes in arithmetic progressions is really small
por: Cowan, Alex
Publicado: (2025)

Computation of Fourier coefficients of automorphic forms of type $G_2$
por: Pollack, Aaron
Publicado: (2024)

An Equivalent form of Twin Prime Conjecture connected with a sequence of arithmetic progressions
por: Cherukupally, Srikanth
Publicado: (2026)

Primes with a missing digit: distribution in arithmetic progressions and an application in sieve theory
por: Nath, Kunjakanan
Publicado: (2021)

Sign patterns of Fourier coefficients of modular forms
por: Booker, Andrew R.
Publicado: (2025)

Smooth numbers in arithmetic progressions to large moduli
por: Pascadi, Alexandru
Publicado: (2023)

On Fourier coefficients of sets with small doubling
por: Shkredov, Ilya D.
Publicado: (2024)

On the partition regularity of arithmetic progressions and linear equations in k-IP-sets
por: Giordano, Raphaël
Publicado: (2025)

The Kelley--Meka bounds for sets free of three-term arithmetic progressions
por: Bloom, Thomas F., et al.
Publicado: (2023)

A new result on the divisor problem in arithmetic progressions modulo a prime power
por: Zhong, Mingxuan, et al.
Publicado: (2025)

Higher symmetric power $L$-functions and their Fourier coefficients
por: Sankaranarayanan, Kampamolla Venkatasubbareddy Ayyadurai
Publicado: (2024)

On the distribution of the Fourier coefficients over two sparse sequences
por: Venkatasubbareddy, Kampamolla
Publicado: (2025)