Absolute values of \(L\)-functions for \(\mathrm{GL}(n, \mathbb{R})\) at the point 1

DOI10.1016/j.aim.2018.07.007zbMath1457.11060OpenAlexW2883729113MaRDI QIDQ1669047

Yuk-Kam Lau, Yingnan Wang

Publication date: 29 August 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2018.07.007

zbMATH Keywords

\(L\)-functionscomplex momentsautomorphic forms on \(\mathrm{GL}(n)\)extreme values at 1

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (5)

Statistics of Hecke eigenvalues for \(\mathrm{GL}(n)\) ⋮ Sato-Tate equidistribution for families of Hecke-Maass forms on \(\mathrm{SL}(n,\mathbb{R})/\mathrm{SO}(n)\) ⋮ A large sieve inequality of Elliott-Montgomery-Vaughan type for Maass forms on \(\mathrm{GL}(n,\mathbb{R})\) with applications ⋮ On the exceptional set of the generalized Ramanujan conjecture for \(\mathrm{GL}(3)\) ⋮ On Selberg's limit theorem for \(L\)-functions over a family of \(\mathrm{GL} (n)\) Hecke-Maass cusp forms

Cites Work

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