Oscillations of Fourier coefficients of cusp forms over primes

DOI10.1016/J.JNT.2015.07.007zbMath1369.11063OpenAlexW2214208693MaRDI QIDQ746948

Guangshi Lü, Fei Hou

Publication date: 21 October 2015

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.07.007

zbMATH Keywords

exponential sumscusp formFourier coefficient

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Sums over primes (11L20) Applications of automorphic functions and forms to multiplicative problems (11N75)

Related Items (2)

The exponential sums related to cusp forms in the level aspect ⋮ Weight aspect exponential sums for Fourier coefficients of cusp forms

Cites Work

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• SUMS OF FOURIER COEFFICIENTS OF CUSP FORMS
• On Cusp form Coefficients in Exponential Sums
• On some exponential sums connected with Ramanujan's τ‐function
• The Distribution of αp ² Modulo 1
• An elementary method in prime number theory
• Trigonometric sums over primes I
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂

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