A conjectural refinement of strong multiplicity one for GL(n)
Number Theory
2020-11-24 v3
Abstract
Given a pair of distinct unitary cuspidal automorphic representations for GL(n) over a number field, let S denote the set of finite places at which the automorphic representations are unramified and their associated Hecke eigenvalues differ. In this note, we demonstrate how conjectures on the automorphy and possible cuspidality of adjoint lifts and Rankin-Selberg products imply lower bounds on the size of S. We also obtain further results for GL(3).
Keywords
Cite
@article{arxiv.1812.11232,
title = {A conjectural refinement of strong multiplicity one for GL(n)},
author = {Nahid Walji},
journal= {arXiv preprint arXiv:1812.11232},
year = {2020}
}
Comments
To appear in IJNT