Shifted convolution sums of Fourier coefficients with divisor functions

DOI10.1007/s10474-015-0499-4zbMath1363.11067OpenAlexW1900689589MaRDI QIDQ343213

Guangshi Lü

Publication date: 25 November 2016

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-015-0499-4

zbMATH Keywords

cusp formFourier coefficientSato-Tate conjecturesymmetric power \(L\)-function

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)

Related Items (6)

Fourth power moment of coefficients of automorphic \(L\)-functions for \(\mathrm{GL}(m)\) ⋮ Some density results on sets of primes for Hecke eigenvalues ⋮ On the local maxima behaviour of Hecke eigenvalues and its applications ⋮ A note on the cancellations of sums involving Hecke eigenvalues ⋮ The Bombieri–Vinogradov Theorem on Higher Rank Groups and its Applications ⋮ The generalized Bourgain-Sarnak-Ziegler criterion and its application to additively twisted sums on \(\mathrm{GL}_m\)

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