Regular poles of local L-functions for GSp(4) with respect to split Bessel models (the subregular cases)

Piatetskii-Shapiro has defined local spinor L-factors for infinite-dimensional irreducible representations of GSp(4,k) over a local non-archimedean field k, attached to a choice of a Bessel model. We classify the so-called subregular poles, these are the regular poles that do not come from the asymp...

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Auteurs principaux: Rösner, Mirko (Auteur) , Weissauer, Rainer (Auteur)
Format: Article (Journal) Chapter/Article
Langue:anglais
Publié: 22 Oct 2018
In: Arxiv

Accès en ligne:Verlag, Volltext: http://arxiv.org/abs/1810.09419
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Notes sur l'auteur:Mirko Rösner, Rainer Weissauer
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Résumé:Piatetskii-Shapiro has defined local spinor L-factors for infinite-dimensional irreducible representations of GSp(4,k) over a local non-archimedean field k, attached to a choice of a Bessel model. We classify the so-called subregular poles, these are the regular poles that do not come from the asymptotic of the Bessel functions. For anisotropic Bessel models there are no subregular poles.
Description:Gesehen am 25.02.2019
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