Sums of coefficients of \(L\)-functions and applications

DOI10.1016/J.JNT.2016.07.005zbMath1419.11113OpenAlexW2516671393MaRDI QIDQ331100

Yujiao Jiang, Guangshi Lü

Publication date: 26 October 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.07.005

zbMATH Keywords

Maass cusp formscoefficients of \(L\)-functions

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Tauberian theorems (11M45)

Related Items (5)

Counting square-free integers represented by binary quadratic forms of a fixed discriminant ⋮ Notes on general divisor problems related to Maass cusp forms ⋮ Dirichlet series, asymptotics, and statistics based on functoriality from GL(2) ⋮ On general divisor problems involving Hecke eigenvalues ⋮ On exponential sums for coefficients of general L-functions

Cites Work

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• Bounds for \(\mathrm{GL}(3) \times \mathrm{GL}(2)\) \(L\)-functions and \(\mathrm{GL}(3)\) \(L\)-functions
• Fourier coefficients of modular forms and eigenvalues of a Hecke operator
• General L-functions
• Functional equations with multiple gamma factors and the average order of arithmetical functions
• SUMS OF FOURIER COEFFICIENTS OF CUSP FORMS
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
• Summation Formulae for Coefficients of L-functions

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