Oscillations of coefficients of primitive cusp forms over some special sequences

DOI10.1007/s11139-008-9128-yzbMath1195.11059OpenAlexW2018790228MaRDI QIDQ1039651

Huixue Lao

Publication date: 23 November 2009

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-008-9128-y

zbMATH Keywords

Hecke eigenvalues

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Sums over primes (11L20) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (5)

Cancellation of two classes of dirichlet coefficients over Beatty sequences ⋮ On squares of Fourier coefficients twist exponential functions with applications ⋮ Estimates for the Fourier coefficients of symmetric square \(L\)-functions ⋮ A twist of the Gauss circle problem by holomorphic cusp forms ⋮ Metric results on summatory arithmetic functions on Beatty sets

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A generating function technique for Beatty sequences and other step sequences
• Oscillations of Hecke eigenvalues at shifted primes
• On exponential sums involving the Ramanujan function
• Beiträge zur Theorie der Dirichletreihen, die Spitzenformen zugeordnet sind
• La conjecture de Weil. I
• The fractional part of \(n\theta + \phi\) and Beatty sequences
• Zero density estimates of L-functions associated with cusp forms
• Beatty sequences and multiplicative number theory
• Zeros of Hecke L-functions associated with cusp forms
• A certain power series associatedwith a Beatty sequence
• Rational approximations to algebraic numbers
• Low lying zeros of families of \(L\)-functions

This page was built for publication: Oscillations of coefficients of primitive cusp forms over some special sequences