%0 Journal Article
%T On a certain metaplectic Eisenstein series and the twisted symmetric square L-function
%A Shuichiro Takeda
%J Mathematics
%D 2015
%I arXiv
%X 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.
%U http://arxiv.org/abs/1506.04791v1