Exponential sums over primes formed with coefficients of primitive cusp forms

DOI10.1007/s10114-009-7051-9zbMath1210.11055OpenAlexW2165662450MaRDI QIDQ1034294

Huixue Lao

Publication date: 11 November 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-009-7051-9

zbMATH Keywords

exponential sumsHecke \(L\)-functionFourier coefficient of cusp forms

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11) Sums over primes (11L20)

Cites Work

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• On exponential sums involving the Ramanujan function
• Beiträge zur Theorie der Dirichletreihen, die Spitzenformen zugeordnet sind
• La conjecture de Weil. I
• Vinogradov's exponential sum over primes
• Zero density estimates of L-functions associated with cusp forms
• Zeros of Hecke L-functions associated with cusp forms

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