The second moment of Dirichlet twists of a \(\mathrm{GL}_4\) automorphic \(L\)-function

DOI10.1007/s00209-023-03363-xarXiv2110.01783OpenAlexW4387305786MaRDI QIDQ6086977

Keiju Sono

Publication date: 14 November 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.01783

zbMATH Keywords

automorphic \(L\)-functionsautomorphic representationssecond moment

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Cites Work

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• The eighth moment of Dirichlet \(L\)-functions
• Zeta functions of simple algebras
• On moments of twisted L-functions
• The Fourth Power Mean of Dirichlet's L-Functions
• On the k -Analogues of some Theorems in the Theory of the Riemann σ-Function
• Analytic $L$-functions: Definitions, theorems, and connections
• Integral moments of L-functions
• The 8th Moment of the Family of $\Gamma_1(q)$-Automorphic $L$-Functions
• The sixth moment of automorphic \(L\)-functions
• Random matrix theory and \(L\)-functions at \(s=1/2\).

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