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arXiv · 2011.15106

On local zeta-integrals for GSp(4) and GSp(4) x GL(2)

David Loeffler
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Abstract

We prove that Novodvorsky's definition of local L-factors for generic representations of GSp(4) x GL(2) is compatible with the local Langlands correspondence when the GL(2) representation is non-supercuspidal. We also give an interpretation in terms of Langlands parameters of the "exceptional" poles of the GSp(4) x GL(2) L-factor, and of the "subregular" poles of the GSp(4) L-factor studied in recent work of Roesner and Weissauer.

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David Loeffler. 2020-11-30. On local zeta-integrals for GSp(4) and GSp(4) x GL(2). https://arxiv.org/abs/2011.15106

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