Cover Image

Effective Joint Sato-Tate Distribution and Sign Change of Symmetric Power Coefficients

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kumar, Arvind, Kumari, Moni, Mishra, Prabhat Kumar
Format:	Preprint
Published:	2026
Subjects:	Number Theory Primary: 11F11 (Primary) 11F30 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On Lower Bounds for sums of Fourier Coefficients of Twist-Inequivalent Newforms
by: Kumari, Moni, et al.
Published: (2026)

Certain Siegel Cusp Forms with Level are Determined by their Fundamental Fourier Coefficients
by: Washburn, Sidney
Published: (2025)

A lower bound for the discrepancy in a Sato-Tate type measure
by: Das, Jishu
Published: (2023)

On generation of the coefficient field of a primitive Hilbert modular form by a single Fourier coefficient
by: Kumar, Narasimha, et al.
Published: (2021)

ABC implies that Ramanujan's tau function misses almost all primes
by: Angdinata, David Kurniadi, et al.
Published: (2026)

On certain kernel functions and shifted convolution sums of Hecke eigenvalues
by: Wang, Youjun
Published: (2024)

Modular degree and a conjecture of Watkins
by: Bhakta, Subham, et al.
Published: (2023)

Recursion formulas for the Fourier coefficients of Siegel Eisenstein series of an odd prime level
by: Gunji, Keiichi
Published: (2025)

Comparing Hecke eigenvalues for pairs of automorphic representations for GL(2)
by: Tsang, Kin Ming
Published: (2024)

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

Defining newforms in characteristic $p$
by: Johnston, Daniel R.
Published: (2024)

A formula for Fourier coefficients of certain eta-quotients and their expansions as Eisenstein series
by: Zhu, Xiao-Jie
Published: (2024)

Construction of Jacobi forms using adjoint of Jacobi-Serre derivative
by: Charan, Mrityunjoy, et al.
Published: (2024)

A modular framework for generalized Hurwitz class numbers I
by: Beckwith, Olivia, et al.
Published: (2024)

A central limit theorem for Hilbert modular forms
by: Das, Jishu, et al.
Published: (2023)

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

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

On obstructions to the Euler system method for Rankin-Selberg convolutions
by: Studnia, Elie
Published: (2024)

Fundamental Fourier coefficients of Siegel modular forms of higher degrees and levels
by: Anamby, Pramath, et al.
Published: (2025)

A modular framework for generalized Hurwitz class numbers II
by: Beckwith, Olivia, et al.
Published: (2024)

Newforms mod p in squarefree level, with applications to Monsky's Hecke-stable filtration
by: Deo, Shaunak V., et al.
Published: (2018)

A modular framework for generalized Hurwitz class numbers III
by: Mono, Andreas
Published: (2025)

Gross's conjecture: the dihedral case
by: Bakić, Petar, et al.
Published: (2025)

An additive problem in the Fourier coefficients of cusp forms
by: Harcos, Gergely
Published: (2001)

Compactifications of Iwahori-level Hilbert modular varieties
by: Diamond, Fred
Published: (2022)

On a theorem of Rickards
by: Damm-Johnsen, Håvard
Published: (2025)

Average shifted convolution sum for $GL(d_1)\times GL(d_2)$
by: Molla, Esrafil Ali
Published: (2025)

Watkins's conjecture for elliptic curves with a rational torsion
by: Bhakta, Subham, et al.
Published: (2024)

Symmetric square type $L$-series
by: Metzler, Ingmar
Published: (2025)

Sign-patterns of Certain Infinite Products
by: Huang, Zeyu, et al.
Published: (2025)

Vanishing of the p-part of the Shafarevich-Tate group of a modular form and its consequences for Anticyclotomic Iwasawa Theory
by: Mastella, Luca
Published: (2023)

Identical Vanishing of Coefficients in the Series Expansion of Eta Quotients, modulo 4, 9 and 25
by: Huber, Tim, et al.
Published: (2025)

Double coset operators and eta-quotients
by: Zhou, Hai-Gang, et al.
Published: (2021)

Murmurations of modular forms in the weight aspect
by: Bober, Jonathan, et al.
Published: (2023)

Arithmetic Progressions of Squares and Multiple Dirichlet Series
by: Hulse, Thomas A., et al.
Published: (2020)

Dimension formulas for modular form spaces of rational weights, the classification of eta-quotient characters and an extension of Martin's theorem
by: Zhu, Xiao-Jie
Published: (2024)

Newspaces with Nebentypus: An Explicit Dimension Formula and Classification of Trivial Newspaces
by: Ross, Erick
Published: (2024)

Some remarks on strong multiplicity one for paramodular forms
by: Wang, Xiyuan, et al.
Published: (2023)

On $p$-adic adjoint $L$-functions for Bianchi cuspforms: the $p$-split case
by: Lee, Pak-Hin, et al.
Published: (2023)

The spectral decomposition of shifted convolution sums
by: Blomer, Valentin, et al.
Published: (2007)