On a certain metaplectic Eisenstein series and the twisted symmetric square L-function
Number Theory
2015-06-17 v1 Representation Theory
Abstract
In our earlier paper, based on a paper by Bump and Ginzburg, we used an Eisenstein series on the double cover of GL(r) to obtain an integral representation of the twisted symmetric square L-function of GL(r). Using that, we showed that the (incomplete) twisted symmetric square L-function of GL(r) is holomorphic for Re(s) > 1. In this paper, we will determine the possible poles of this Eisenstein series more precisely and show that the (incomplete) twisted symmetric square L-function is entire except possible simple poles at s = 0 and s = 1.
Keywords
Cite
@article{arxiv.1506.04791,
title = {On a certain metaplectic Eisenstein series and the twisted symmetric square L-function},
author = {Shuichiro Takeda},
journal= {arXiv preprint arXiv:1506.04791},
year = {2015}
}