A note on simultaneous nonvanishing of Dirichlet $L$-functions and twists of Hecke-Maass $L$-functions

zbMath1494.11049arXiv1609.03091MaRDI QIDQ5066734

Qing Feng Sun

Publication date: 30 March 2022

Full work available at URL: https://arxiv.org/abs/1609.03091

zbMATH Keywords

special values of \(L\)-functionsDirichlet \(L\)-functionstwists of Hecke-Maass \(L\)-functions

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (3)

Twisted first moment of quadratic and quadratic twist \(L\)-functions ⋮ Simultaneous nonvanishing of Dirichlet L-functions and twists of Hecke–Maass L-functions in the critical strip ⋮ Simultaneous non-vanishing of quadratic Dirichlet \(L\)-functions and twists of Hecke \(L\)-functions

Cites Work

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• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
• Simultaneous nonvanishing of Dirichlet $L$-functions and twists of Hecke-Maass L-functions
• Non-vanishing of \(L\)-functions and applications
• The non-vanishing of central values of automorphic \(L\)-functions and Landau-Siegel zeros

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