Simultaneous nonvanishing of automorphic \(L\)-functions

DOI10.1016/J.JNT.2014.08.005zbMath1380.11059OpenAlexW2033484201MaRDI QIDQ472863

Sheng-Chi Liu

Publication date: 20 November 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.08.005

zbMATH Keywords

\(L\)-functionsnonvanishing

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 (6)

Simultaneous nonvanishing of Dirichlet $L$-functions and twists of Hecke-Maass L-functions ⋮ Simultaneous non-vanishing of central values of \(\mathrm{GL}(2) \times \mathrm{GL}(3)\) and \(\mathrm{GL}(3)\) \(L\)-functions ⋮ Non-vanishing of the first derivative of GL(3) ×GL(2) L-functions ⋮ A note on simultaneous nonvanishing of Dirichlet $L$-functions and twists of Hecke-Maass $L$-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

• Simultaneous nonvanishing of automorphic \(L\)-functions at the central point
• The fourth moment of Dirichlet \(L\)-functions
• The central value of the Rankin-Selberg \(L\)-functions
• On Selberg's eigenvalue conjecture
• Nonvanishing of \(L\)-functions for \(\text{GL}(n,\mathbf A_Q)\)
• Average values of modular \(L\)-series via the relative trace formula
• Simultaneous non-vanishing of GL(3) × GL(2) and GL(2) L-functions
• Simultaneous non-vanishing of twists
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
• Simultaneous nonvanishing of 𝐺𝐿(2)×𝐺𝐿(2) and 𝐺𝐿(2) 𝐿-functions
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