On Deligne's conjecture for symmetric fourth L-functions of Hilbert modular forms

We prove an automorphic analogue of Deligne's conjecture for symmetric fourth L-functions of Hilbert modular forms. We extend the result of Morimoto [41] based on generalization and refinement of the results of Grobner and Lin [18] to cohomological irreducible essentially conjugate self-dual cu...

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Bibliographic Details
Published inAdvances in mathematics (New York. 1965) Vol. 414; p. 108860
Main Author Chen, Shih-Yu
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.02.2023
Subjects
Deligne's conjecture
Symmetric power L-functions
Symmetric power L-functions
Deligne's conjecture
11F75
11F70
11F67
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Summary:We prove an automorphic analogue of Deligne's conjecture for symmetric fourth L-functions of Hilbert modular forms. We extend the result of Morimoto [41] based on generalization and refinement of the results of Grobner and Lin [18] to cohomological irreducible essentially conjugate self-dual cuspidal automorphic representations of GL2 and GL3 over CM-fields.
ISSN:0001-8708
1090-2082
DOI:10.1016/j.aim.2023.108860