On Deligne's conjecture for symmetric fourth \(L\)-functions of Hilbert modular forms (Q2685679)

scientific article; zbMATH DE number 7656373

Language	Label	Description	Also known as
English	On Deligne's conjecture for symmetric fourth \(L\)-functions of Hilbert modular forms	scientific article; zbMATH DE number 7656373

Statements

instance of

scholarly article

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title

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

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author

Shih-Yu Chen

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published in

Advances in Mathematics

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publication date

22 February 2023

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full work available at URL

https://arxiv.org/abs/2101.07507

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zbMATH Keywords

Deligne's conjecture

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symmetric power \(L\)-functions

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MaRDI profile type

Publication

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cites work

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Archimedean Theory and 𝜖-Factors for the Asai Rankin-Selberg Integrals

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

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Gamma factors for the asai representation of \(\mathrm{GL}_2\)

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Q3484924

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Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.

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Arthur's multiplicity formula for \(\mathrm{GSp}_4\) and restriction to \(\mathrm{Sp}_4\)

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Zeta functions of simple algebras

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Exact critical values of the symmetric fourth \(L\) function and vector valued Siegel modular forms

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Pullbacks of Saito-Kurokawa lifts

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Special Values of Dirichlet Series Attached to Hilbert Modular Forms

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A non-vanishing theorem for zeta functions of \(\mathrm{GL}_n\)

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Automorphic forms on \(GL(3)\). I, II

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.AIM.2023.108860

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Sitelinks

Mathematics(1 entry)

mardi Publication:2685679