Gamma factors for the Asai cube representation

We prove an equality between the gamma factors for the Asai cube representation of R E / F GL 2 defined by the Weil–Deligne representations and by the local zeta integrals of Ikeda and Piatetski-Shapiro–Rallis, where E is an étale cubic algebra over a local field F of characteristic zero.

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Bibliographic Details
Published in:Mathematische Zeitschrift 2021-02, Vol.297 (1-2), p.747-773
Main Author: Chen, Shih-Yu
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Representations
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Summary:We prove an equality between the gamma factors for the Asai cube representation of R E / F GL 2 defined by the Weil–Deligne representations and by the local zeta integrals of Ikeda and Piatetski-Shapiro–Rallis, where E is an étale cubic algebra over a local field F of characteristic zero.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-020-02531-7