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arXiv · 1904.07844

Gamma factors for the Asai cube representation

Shih-Yu Chen
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Abstract

We prove an equality between the gamma factors for the Asai cube representation of ${\rm R}_{E/F}{\rm GL}_2$ defined by the Weil$-$Deligne representations and 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. As an application we obtain the analytic properties of the automorphic $L$-functions for the Asai cube representation.

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Shih-Yu Chen. 2019-04-16. Gamma factors for the Asai cube representation. https://doi.org/10.1007/s00209-020-02531-7

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