Oscillations of cusp form coefficients over primes

DOI10.1007/S10440-008-9374-4zbMath1198.11043OpenAlexW2011674992MaRDI QIDQ973807

Qinghua Pi, Qing Feng Sun

Publication date: 26 May 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9374-4

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Other Dirichlet series and zeta functions (11M41) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Sums over primes (11L20)

Related Items (4)

On exponential sums involving Fourier coefficients of cusp forms over primes ⋮ An exponential sum involving Fourier coefficients of eigenforms for \(\mathrm{SL}(2,\mathbb{Z})\) ⋮ Fourier coefficients at primes twisted with exponential functions ⋮ Oscillations of Fourier coefficients of cusp forms over primes

Cites Work

• Oscillations of Hecke eigenvalues at shifted primes
• La conjecture de Weil. I
• Vinogradov's exponential sum over primes
• Ω-results for sums of Fourier coefficients of cusp forms
• Low lying zeros of families of \(L\)-functions
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