Journals / Turkish Journal of Mathematics / 2014 / Cilt: 38 - Sayı: 4
Regular poles for the p-adic group GSp4
- Pages
- 587–613
- DOI
- —
Abstract
We compute the regular poles of the L-factors of the admissible and irreducible representations of the group GSp4, which admit a nonsplit Bessel functional and have a Jacquet module length of at most 2 with respect to the unipotent radical of the Siegel parabolic, over a non-Archimedean local field of odd characteristic. We also compute the L-factors of the generic representations of GSp4.
Özet
We compute the regular poles of the L-factors of the admissible and irreducible representations of the group GSp4, which admit a nonsplit Bessel functional and have a Jacquet module length of at most 2 with respect to the unipotent radical of the Siegel parabolic, over a non-Archimedean local field of odd characteristic. We also compute the L-factors of the generic representations of GSp4.