On local zeta-integrals for GSp(4) and GSp(4) x GL(2)
Representation Theory
2024-04-09 v2 Number Theory
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.
Keywords
Cite
@article{arxiv.2011.15106,
title = {On local zeta-integrals for GSp(4) and GSp(4) x GL(2)},
author = {David Loeffler},
journal= {arXiv preprint arXiv:2011.15106},
year = {2024}
}
Comments
Revised version, to appear in New York J. Math