On sums involving coefficients of automorphic $L$-functions
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Publication:3395558
DOI10.1090/S0002-9939-09-09845-1zbMath1247.11065OpenAlexW2010420491MaRDI QIDQ3395558
Publication date: 11 September 2009
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-09-09845-1
Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11)
Related Items (11)
Fourier coefficients of symmetric power \(L\)-functions ⋮ Oscillations of coefficients of Dirichlet series attached to automorphic forms ⋮ Cancellation of two classes of dirichlet coefficients over Beatty sequences ⋮ Estimates for coefficients of certain \(L\)-functions ⋮ Mean value of Dirichlet series coefficients of Rankin-Selberg \(L\)-functions ⋮ First moments of Fourier coefficients of \(\mathrm{GL}(r)\) cusp forms ⋮ Mean value theorem connected with Fourier coefficients of Hecke-Maass forms for SL(m, ℤ) ⋮ On sums involving Fourier coefficients of Maass forms for \(\mathrm{SL}(3,\mathbb Z)\) ⋮ On exponential sums for coefficients of general L-functions ⋮ Sums of Fourier coefficients related to Hecke eigencusp forms ⋮ On sums of Fourier coefficients of Maass cusp forms
Cites Work
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- Weak subconvexity for central values of \(L\)-functions
- A nonvanishing result for twists of \(L\)-functions of \(\text{GL}(n)\)
- Zeros of principal \(L\)-functions and random matrix theory
- Functional equations with multiple gamma factors and the average order of arithmetical functions
- Zeta functions of simple algebras
- On Euler Products and the Classification of Automorphic Forms II
- Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
- Summation Formulae for Coefficients of L-functions
- Cancellation in additively twisted sums on GL(n)
- Automorphic Forms and L-Functions for the GroupGL(n, R)
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