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

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.

Revised version, to appear in New York J. Math

Cited by in corpus (4)

• Euler Systems for ${\mathrm{GSp}}_4\times {\mathrm{GL}}_2$
• Gross--Prasad periods for reducible representations
• On some zeta-integrals for unramified representations of GSp(4)
• On p-adic regulators for GSp(4) x GL(2) and GSp(4) x GL(2) x GL(2)