The first moment of the symmetric-square \(L\)-function

DOI10.1016/j.jnt.2006.09.010zbMath1124.11024OpenAlexW2160111474MaRDI QIDQ880053

Rizwanur Khan

Publication date: 10 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.09.010

zbMATH Keywords

modular forms\(L\)-series

Mathematics Subject Classification ID

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)

Related Items

The first moment of central values of symmetric square \(L\)-functions in the weight aspect ⋮ The symmetric-square \(L\)-function on the critical line ⋮ The first moment of central values of symmetric square $L$-functions of cusp forms ⋮ The mean value of symmetric square \(L\)-functions ⋮ On the first moment of the symmetric-square 𝐿-function ⋮ Lower bound for the higher moment of symmetric square \(L\)-functions ⋮ An explicit trace formula of Jacquet-Zagier type for Hilbert modular forms ⋮ Non-vanishing of the derivative of \(L\)-functions at the central point

Cites Work

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• On the Holomorphy of Certain Dirichlet Series
• A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
• Non-vanishing of symmetric square $L$-functions
• On the Poles of Rankin-Selberg Convolutions of Modular Forms
• Nonvanishing of symmetric square $L$-functions of cusp forms inside the critical strip