On the functional equations of the triple L-functions

DOI10.1215/kjm/1250520261zbMath0701.11017OpenAlexW1602269326MaRDI QIDQ913841

Tamotsu Ikeda

Publication date: 1989

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250520261

zbMATH Keywords

analytic continuationlocal functional equation\(\epsilon \) -factorcuspidal automorphic representations of \(GL_ 2\)local integralstriple L-functions

Mathematics Subject Classification ID

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 (15)

Base change and triple product 𝐿-series ⋮ Double first moment for \(L(\frac{1}{2}, \operatorname{Sym}^2 f \times g)\) by applying Petersson's formula twice ⋮ Algebraicity of the central critical values of twisted triple product \(L\)-functions ⋮ Algebraicity of critical values of triple product \(L\)-functions in the balanced case ⋮ Dirichlet series, asymptotics, and statistics based on functoriality from GL(2) ⋮ Gamma factors for the Asai cube representation ⋮ On the gamma factor of the triple \(L\)-function. I ⋮ Algebraicity of the near central non-critical values of symmetric fourth \(L\)-functions for Hilbert modular forms ⋮ Special value formula for the twisted triple product \(L\)-function and an application to the restricted \(L^2\)-norm problem ⋮ Unnamed Item ⋮ Gamma factors for the asai representation of \(\mathrm{GL}_2\) ⋮ Pullback formulae for nearly holomorphic Saito-Kurokawa lifts ⋮ Unnamed Item ⋮ Discrete mean square of the coefficients of triple product \(L\)-functions over certain sparse sequence ⋮ On Deligne's conjecture for certain automorphic \(L\)-Functions for \(\mathrm{GL}(3)\times\mathrm{GL}(2)\) and \(\mathrm{GL}(4)\)

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