Linnik-type problems for automorphic \(L\)-functions

DOI10.1016/j.jnt.2009.08.015zbMath1217.11055OpenAlexW2021658665MaRDI QIDQ2268811

Yan Qu

Publication date: 9 March 2010

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.08.015

zbMATH Keywords

automorphic representationsign changeautomorphic \(L\)-functionLinnik-type problem

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items

On the Fourier coefficients of certain Hilbert modular forms ⋮ On the signs of Fourier coefficients of Hilbert cusp forms ⋮ Sign changes of Fourier coefficients of Maass eigenforms ⋮ Sign changes of Hecke eigenvalue of primitive cusp forms ⋮ On signs of Fourier coefficients of Hecke-Maass cusp forms on 𝐺𝐿₃ ⋮ Arithmetic distribution of tempered components of cuspidal representations of \(\mathrm{GL}(3)\) ⋮ The first negative coefficients of symmetric square \(L\)-functions ⋮ Exponential sums with multiplicative coefficients without the Ramanujan conjecture ⋮ The number of coefficients of automorphic \(L\)-functions for \(\mathrm{GL}_m\) of same signs ⋮ On the first sign change of Fourier coefficients of cusp forms at sum of two squares ⋮ The first negative coefficient of symmetric power \(L\)-functions ⋮ A large sieve inequality of Elliott-Montgomery-Vaughan type for automorphic forms on \(\mathrm{GL}_3\) ⋮ Sign changes of Fourier coefficients of Hilbert modular forms ⋮ On a convolution series attached to a Siegel Hecke cusp form of degree 2 ⋮ Two Linnik-type problems for automorphic L-functions ⋮ On the sign changes and non-vanishing of Hecke eigenvalues associated to symmetric power \(L\)-functions

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