Approximate Converse Theorem
Number Theory
2012-03-29 v1
Abstract
We present an approximate converse theorem which measures how close a given set of irreducible admissible unramified unitary generic local representations of GL(n) is to a genuine cuspidal representation. To get a formula for the measure, we introduce a quasi-Maass form on the generalized upper half plane for a given set of local representations. We also construct an annihilating operator which enables us to write down an explicit cuspidal automorphic function.
Cite
@article{arxiv.1203.6328,
title = {Approximate Converse Theorem},
author = {Min Lee},
journal= {arXiv preprint arXiv:1203.6328},
year = {2012}
}