Algebraicity of the near central non-critical values of symmetric fourth \(L\)-functions for Hilbert modular forms

DOI10.1016/j.jnt.2021.05.002zbMath1491.11055arXiv2012.00625OpenAlexW3174280762WikidataQ114156958 ScholiaQ114156958MaRDI QIDQ2239156

Shih-Yu Chen

Publication date: 3 November 2021

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

Full work available at URL: https://arxiv.org/abs/2012.00625

zbMATH Keywords

Rankin-Selberg \(L\)-functionsspecial values of \(L\)-functionsArchimedean Whittaker periodsWhittaker periods for \(\operatorname{GL}_3\)

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) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (2)

On Deligne's conjecture for symmetric fifth \(L\)-functions of modular forms ⋮ On Deligne's conjecture for symmetric fourth \(L\)-functions of Hilbert modular forms

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