Vol. 296, No. 2, 2018

 Recent Issues Vol. 299: 1  2 Vol. 298: 1  2 Vol. 297: 1  2 Vol. 296: 1  2 Vol. 295: 1  2 Vol. 294: 1  2 Vol. 293: 1  2 Vol. 292: 1  2 Online Archive Volume: Issue:
 The Journal Subscriptions Editorial Board Officers Special Issues Submission Guidelines Submission Form Contacts Author Index To Appear ISSN: 1945-5844 (e-only) ISSN: 0030-8730 (print) Other MSP Journals
Zeta integrals for GSp(4) via Bessel models

Ralf Schmidt and Long Tran

Vol. 296 (2018), No. 2, 437–480
Abstract

We give a revised treatment of Piatetski-Shapiro’s theory of zeta integrals and $L$-factors for irreducible, admissible representations of $GSp\left(4,F\right)$ via Bessel models. We explicitly calculate the local $L$-factors in the nonsplit case for all representations. In particular, we introduce the new concept of Jacquet–Waldspurger modules which play a crucial role in our calculations.

Keywords
L-factors, GSp(4), Bessel models, Jacquet–Waldspurger modules
Primary: 11F70