An analogue of the Bombieri-Vinogradov theorem for Fourier coefficients of cusp forms

DOI10.1007/s00209-017-1875-2zbMath1430.11057OpenAlexW2599584455MaRDI QIDQ1706074

Ratnadeep Acharya

Publication date: 21 March 2018

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-017-1875-2

zbMATH Keywords

Fourier coefficientscusp formsarithmetic progressionsBombieri-Vinogradov theorem

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Fourier coefficients of automorphic forms (11F30)

Cites Work

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• On a variance of Hecke eigenvalues in arithmetic progressions
• La conjecture de Weil. I
• Topics in multiplicative number theory
• Strong orthogonality between the Möbius function, additive characters and Fourier coefficients of cusp forms
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
• On an analogue of Titchmarsh’s divisor problem for holomorphic cusp forms
• Summation Formulae for Coefficients of L-functions
• Footnote to the Titchmarsh-Linnik Divisor Problem

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