A Converse Theorem for Metaplectic Eisenstein Series on $SL_2(\mathbb{A})$
Number Theory
2015-04-29 v1
Abstract
The purpose of this work is to produce a converse theorem for adelic Eisenstein series on the double metaplectic cover of the group . We show that the double Dirichlet series, which satisfy the natural functional equations required in our theorem, are in fact Mellin transforms at infinity of metaplectic Eisenstein series.
Keywords
Cite
@article{arxiv.1504.07331,
title = {A Converse Theorem for Metaplectic Eisenstein Series on $SL_2(\mathbb{A})$},
author = {Vladislav Petkov},
journal= {arXiv preprint arXiv:1504.07331},
year = {2015}
}