Spinor Euler factors for GSp(4) in the subregular case

Abstract

For local non-archimedean fields $k$, Piatetski-Shapiro has defined local spinor $L$-factors for irreducible representations $\Pi$ of $\mathrm{GSp}(4,k)$ of dimension $>1$, attached to a choice of a Bessel model $\Lambda$. We classify regular poles that do not come from the asymptotic of the Bessel functions in the Bessel model. For anisotropic Bessel models there are no such subregular poles.

41 pages, 4 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 (2)

• On the Bloch-Kato conjecture for GSp(4)
• On local zeta-integrals for GSp(4) and GSp(4) x GL(2)