The second moment of sums of coefficients of cusp forms

DOI10.1016/j.jnt.2016.09.005zbMath1420.11080arXiv1512.01299OpenAlexW2271416285WikidataQ60106071 ScholiaQ60106071MaRDI QIDQ730048

D. Kharzeev

Publication date: 23 December 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.01299

zbMATH Keywords

Dirichlet seriesFourier coefficients of modular forms

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (5)

The Laplace transform of the second moment in the Gauss circle problem ⋮ Non-real poles and irregularity of distribution ⋮ Triple correlation sums of coefficients of cusp forms ⋮ SECOND MOMENTS IN THE GENERALIZED GAUSS CIRCLE PROBLEM ⋮ A shifted sum for the congruent number problem

Uses Software

• GL(n)pack

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
• Subconvexity for half integral weight \(L\)-functions
• Multiple Dirichlet series and shifted convolutions
• On sums of Fourier coefficients of cusp forms
• Kloosterman sums and Fourier coefficients of cusp forms
• La conjecture de Weil. I
• On the mean value of the error term for a class of arithmetical functions
• Functional equations with multiple gamma factors and the average order of arithmetical functions
• $p$-adic properties of modular shifted convolution Dirichlet series
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
• Automorphic Forms and L-Functions for the GroupGL(n, R)

This page was built for publication: The second moment of sums of coefficients of cusp forms