We prove an equality between the gamma factors for the Asai cube representation of $$\mathrm{R}_{E/F}\mathrm{{GL}}_2$$ R E / F GL 2 defined by the Weil–Deligne representations and by the local… Click to show full abstract
We prove an equality between the gamma factors for the Asai cube representation of $$\mathrm{R}_{E/F}\mathrm{{GL}}_2$$ 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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