Gamma factors for the Asai cube representation
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DOI: 10.1007/s00209-020-02531-7
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… read more here.
Keywords: gamma factors; cube representation; asai cube; factors asai ... See more keywords
Gamma factors and quadratic extension over finite fields
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DOI: 10.1007/s00229-018-1022-3
Abstract: This paper characterizes $${\mathrm {GL}}_n({\mathbb {F}}_q )$$GLn(Fq)-distinguished cuspidal representations of $${\mathrm {GL}}_n({\mathbb {F}}_{q^2})$$GLn(Fq2) in terms of the special values of their twisted gamma factors. read more here.
Keywords: factors quadratic; quadratic extension; gamma factors; extension finite ... See more keywords
Stability of Rankin–Selberg gamma factors for Sp(2n),Sp̃(2n) and U(n,n)
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DOI: 10.1142/s1793042117501317
Abstract: Let F be a p-adic field and E/F be a quadratic extension. In this paper, we prove a stability result on partial Bessel functions associated with Howe vectors for generic representations of reductiv... read more here.
Keywords: selberg gamma; stability rankin; gamma factors; rankin selberg ... See more keywords