Equidistribution in supersingular Hecke orbits
Number Theory
2013-06-11 v2
Abstract
We prove an equidistribution result for Hecke operators acting on the basic stratum of certain Shimura varieties. We relate the rate of convergence to the bounds from the Ramanujan conjecture of certain cuspidal automorphic representations on Gl_n for which this conjecture is known, and therefore we obtain optimal estimates on the rate of convergence.
Cite
@article{arxiv.1303.0170,
title = {Equidistribution in supersingular Hecke orbits},
author = {Arno Kret},
journal= {arXiv preprint arXiv:1303.0170},
year = {2013}
}