Ramanujan duals and automorphic spectrum
Representation Theory
2016-09-06 v1 Number Theory
Abstract
We introduce the notion of the automorphic dual of a matrix algebraic group defined over . This is the part of the unitary dual that corresponds to arithmetic spectrum. Basic functorial properties of this set are derived and used both to deduce arithmetic vanishing theorems of ``Ramanujan'' type as well as to give a new construction of automorphic forms.
Cite
@article{arxiv.math/9204229,
title = {Ramanujan duals and automorphic spectrum},
author = {Marc Burger and Jian-Shu Li and Peter Sarnak},
journal= {arXiv preprint arXiv:math/9204229},
year = {2016}
}
Comments
5 pages