On the non-vanishing of the central value of certain \(L\)-functions: unitary groups

DOI10.4171/JEMS/955zbMath1452.11060arXiv1806.04340OpenAlexW3008394963MaRDI QIDQ2178264

Lei Zhang, Di-Hua Jiang

Publication date: 7 May 2020

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.04340

zbMATH Keywords

automorphic \(L\)-functionsunitary groupscentral valuesFourier coefficients of automorphic formsBessel periods and automorphic descentsendoscopic classification of discrete spectrum

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (3)

Relations of rationality for special values of Rankin-Selberg \(L\)-functions of \(\mathrm{GL}_n \times \mathrm{GL}_m\) over CM-fields ⋮ Automorphic descent for symplectic groups: The branching problems and L -functions ⋮ Bessel Descents and Branching Problems

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