Cover Image

Toroidal families and averages of $L$-functions, II: cubic moments

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Fouvry, Étienne, Kowalski, Emmanuel, Michel, Philippe, Sawin, Will
Format:	Preprint
Published:	2026
Subjects:	Number Theory 11T23, 11L05, 11Mxx, 11N37, 11N75, 11F66, 14F20, 14D05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Bilinear forms with trace functions
by: Fouvry, Étienne, et al.
Published: (2025)

Stratification and averaging for exponential sums: bilinear forms with generalized Kloosterman sums
by: Kowalski, E., et al.
Published: (2018)

On algebraic twists with composite moduli, II
by: Lin, Yongxiao, et al.
Published: (2026)

Twisted first moment of quadratic and quadratic twist $L$-functions
by: Gao, Peng, et al.
Published: (2023)

Moment of derivatives of L-functions for two distinct newforms
by: Choi, Seokhyun, et al.
Published: (2024)

L-functions and rational points for Galois twists of modular curves
by: Studnia, Elie
Published: (2025)

Toroidal families and averages of L-functions, I
by: Fouvry, Étienne, et al.
Published: (2023)

Theta functions, fourth moments of eigenforms, and the sup-norm problem II
by: Khayutin, Ilya, et al.
Published: (2022)

Primes in simultaneous arithmetic progressions
by: Zheng, Zongkun
Published: (2025)

Distinction between hyper-Kloosterman sums and multiplicative functions
by: Zhang, Yang
Published: (2025)

Bilinear forms with Kloosterman sums and moments of twisted L-functions
by: Milićević, Djordje, et al.
Published: (2025)

On a non-Archimedean analogue of a question of Atkin and Serre
by: Bilu, Yuri F, et al.
Published: (2024)

Modularity of counting functions of convex planar polygons with rationality conditions
by: Bringmann, Kathrin, et al.
Published: (2023)

Wild Stacky Curves and Rings of Mod p Modular Forms
by: Kobin, Andrew, et al.
Published: (2025)

First moments of ${\rm{GL}} (3) \times {\rm{GL}} (2)$ and ${\rm{GL}} (2)$ $L$-functions and their applications
by: Hou, Fei
Published: (2025)

Sign changes in Fourier coefficients of the symmetric power $L$-functions on sums of two squares
by: Kaur, Amrinder
Published: (2025)

Twisted second moment of primitive cubic L-functions
by: Hong, Ziwei, et al.
Published: (2025)

On the moments of averages of Ramanujan sums
by: Goel, Shivani, et al.
Published: (2024)

Arithmetic Fourier transforms over finite fields: generic vanishing, convolution, and equidistribution
by: Forey, Arthur, et al.
Published: (2021)

Effective open image theorem and a Linnik type problem for elliptic curves
by: Wang, Tian, et al.
Published: (2025)

Hybrid bounds for ${\rm{GL}}(4)\times {\rm{GL}}(1)$ twisted $L$-functions
by: Hou, Fei
Published: (2025)

Trace formula and functional equation
by: Kwan, Chung-Hang, et al.
Published: (2024)

Sparse Distribution of Coefficients of $\ell$-fold Product $L$-functions at Integers Represented by Quadratic Forms
by: Sharma, Anubhav, et al.
Published: (2026)

Negative first moment of quadratic twists of $L$-functions
by: Gao, Peng, et al.
Published: (2023)

A Tauberian characterization of the Riemann hypothesis through the floor function
by: Cloitre, Benoit
Published: (2024)

Character sum, reciprocity and Voronoi formula
by: Kwan, Chung-Hang, et al.
Published: (2024)

Short sums of trace functions over function fields and their applications
by: Sawin, Will, et al.
Published: (2025)

Bias in cubic Gauss sums: Patterson's conjecture
by: Dunn, Alexander, et al.
Published: (2021)

Zeros of $L$-functions and large partial sums of Dirichlet coefficients
by: Kerr, Bryce, et al.
Published: (2024)

Certain squarefree levels of reducible modular mod$\,\ell$ Galois representations
by: Kumar, Arvind, et al.
Published: (2024)

On nonconvex constellations among primes II: (458,3240)
by: Holt, Fred B.
Published: (2026)

First moment of Hecke eigenvalues at the integers represented by binary quadratic forms
by: Pandey, Manish Kumar, et al.
Published: (2024)

On the Artin formalism for triple product $p$-adic $L$-functions
by: Büyükboduk, Kâzım, et al.
Published: (2025)

The Second Moment of Sums of Hecke Eigenvalues II
by: Carmichael, Ned
Published: (2025)

Quartic Gauss sums over primes and metaplectic theta functions
by: David, Chantal, et al.
Published: (2023)

Bounds for the distribution of the Frobenius traces associated to a generic abelian variety
by: Cojocaru, Alina Carmen, et al.
Published: (2022)

Weighted averages of $\operatorname{SL}_2(\mathbb{R})$ automorphic kernel, Part I: non-oscillatory functions
by: Grimmelt, Lasse, et al.
Published: (2025)

On the Artin formalism for triple product $p$-adic $L$-functions: Super-factorization
by: Büyükboduk, Kâzım, et al.
Published: (2023)

The average analytic rank of elliptic curves with prescribed level structure
by: Cho, Peter J., et al.
Published: (2023)

Multiple Mertens theorems for arithmetic progressions
by: Chen, Zhen, et al.
Published: (2025)