Abstract
We prove an equality between the gamma factors for the Asai cube representation of \(\mathrm{R}_{E/F}\mathrm{{GL}}_2\) 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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The author would like to thank Dipendra Prasad and the referee for the comments and suggestions.
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Chen, SY. Gamma factors for the Asai cube representation. Math. Z. 297, 747–773 (2021). https://doi.org/10.1007/s00209-020-02531-7
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DOI: https://doi.org/10.1007/s00209-020-02531-7