Oscillations of coefficients of symmetric square \(L\)-functions over primes

DOI10.1007/S11464-015-0442-6zbMath1386.11071OpenAlexW1992744468MaRDI QIDQ889415

Fei Hou

Publication date: 6 November 2015

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-015-0442-6

zbMATH Keywords

Fourier coefficientsymmetric-square \(L\)-functionprimitive holomorphic cusp form

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)

Uses Software

• GL(n)pack

Cites Work

• Perron's formula and the prime number theorem for automorphic \(L\)-functions
• Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman
• La conjecture de Weil. I
• Strong orthogonality between the Möbius function, additive characters and Fourier coefficients of cusp forms
• SUMS OF FOURIER COEFFICIENTS OF CUSP FORMS
• On some exponential sums connected with Ramanujan's τ‐function
• An elementary method in prime number theory
• Cancellation in additively twisted sums on GL(n)
• Automorphic Forms and L-Functions for the GroupGL(n, R)
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