Equidistribution of Fourier coefficients of square and cube symmetric \(L\)-functions

DOI10.1007/S11139-009-9157-1zbMath1226.11061OpenAlexW2014871914MaRDI QIDQ1037566

Sami Omar, Kamel Mazhouda

Publication date: 16 November 2009

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-009-9157-1

zbMATH Keywords

equidistributionsymmetric cube L-functionssymmetric square L-functions

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Fourier coefficients of automorphic forms (11F30) Applications of sieve methods (11N36) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (1)

Quantitative versions of the joint distributions of Hecke eigenvalues

Cites Work

• Special values of symmetric power \(L\)-functions and Hecke eigenvalues
• Average values of symmetric square \(L\)-functions at the edge of the critical strip
• The distribution of the eigenvalues of Hecke operators
• Facteurs $\bbfQ$-simples de $J_{0}(N)$ de grande dimension et de grand rang
• Répartition asymptotique des valeurs propres de l’opérateur de Hecke 𝑇_𝑝
• Low lying zeros of families of \(L\)-functions

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