Regular poles for spinor $L$-series attached to split Bessel models of $\mathrm{GSp}(4)$

Abstract

For irreducible smooth representations $\Pi$ of $\mathrm{GSp}(4,k)$ over a non-archimedean local field $k$, Piatetskii-Shapiro and Soudry have constructed an $L$-factor depending on the choice of a Bessel model. It factorizes into a regular part and an exceptional part. We determine the regular part for the case of split Bessel models.

83 pages, 7 tables

References in corpus (2)

• Euler systems for GSp(4)
• On higher regulators of Siegel threefolds II: the connection to the special value

Cited by in corpus (1)

• A universal Euler system for GSp(4)