Further refinement of strong multiplicity one for GL(2)
Number Theory
2013-08-08 v1
Abstract
We obtain a sharp refinement of the strong multiplicity one theorem for the case of unitary non-dihedral cuspidal automorphic representations for GL(2). Given two unitary cuspidal automorphic representations for GL(2) that are not twist-equivalent, we also find sharp lower bounds for the number of places where the Hecke eigenvalues are not equal, for both the general and non-dihedral cases. We then construct examples to demonstrate that these results are sharp.
Keywords
Cite
@article{arxiv.1308.1469,
title = {Further refinement of strong multiplicity one for GL(2)},
author = {Nahid Walji},
journal= {arXiv preprint arXiv:1308.1469},
year = {2013}
}
Comments
21 pages. To appear in Transactions of the American Mathematical Society