The sixth moment of the family of \(\Gamma_1(q)\)-automorphic \(L\)-functions

DOI10.1007/s00013-011-0334-2zbMath1312.11036OpenAlexW2010044536MaRDI QIDQ658317

Goran Djanković

Publication date: 12 January 2012

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-011-0334-2

zbMATH Keywords

moments\(L\)-functionsautomorphic forms

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) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11)

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The sixth moment of automorphic \(L\)-functions ⋮ The sixth moment of automorphic \(L\)-functions

Cites Work

• The sixth power moment of Dirichlet \(L\)-functions
• The second moment of \(\mathrm{GL}(3) \times\mathrm{GL}(2)\) \(L\)-functions at special points
• The orthogonality of Hecke eigenvalues
• The Large Sieve Inequality for Algebraic Number Fields. II: Means of Moments of Hecke Zeta-Functions
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