Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4586026 | Journal of Algebra | 2011 | 20 Pages |
Abstract
Let π be a smooth, irreducible, square integrable representation of GLm(F), where F is a non-archimedean local field of characteristic zero. We prove that the exterior square L-function LJS(s,π,∧2) defined via an integral representation due to Jacquet and Shalika is regular and non-vanishing in the region Re(s)>0. We also investigate the behavior of the L-function LJS(s,π,∧2) at s=0, and show that if the function LJS(s,π,∧2) has a pole at s=0 then π has a non-zero Shalika functional.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory