Simultaneous non-vanishing of central values of \(\mathrm{GL}(2) \times \mathrm{GL}(3)\) and \(\mathrm{GL}(3)\) \(L\)-functions
DOI10.1016/J.JNT.2023.08.003arXiv2108.03985OpenAlexW4386865446MaRDI QIDQ6065150
Gopal Maiti, Kummari Mallesham
Publication date: 14 November 2023
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.03985
Rankin-Selberg \(L\)-functionsKuznetsov trace formulasimultaneous non-vanishing\(\mathrm{GL}(3)\) \(L\)-function
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) Automorphic forms, one variable (11F12) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)
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