Equidistribution of Gross points over rational function fields
Number Theory
2020-03-31 v2
Abstract
In this paper we prove a sparse equidistribution theorem for Gross points over the rational function field . We apply this result to study the reduction map from CM Drinfeld modules to supersingular Drinfeld modules. Our proofs rely crucially on a period formula due to M. Papikian and F.-T. Wei/J. Yu, and a Lindel\"of-type bound for central values of Rankin-Selberg -functions associated to twists of automorphic forms of Drinfeld-type by ideal class group characters.
Cite
@article{arxiv.1905.07001,
title = {Equidistribution of Gross points over rational function fields},
author = {Ahmad El-Guindy and Riad Masri and Matthew Papanikolas and Guchao Zeng},
journal= {arXiv preprint arXiv:1905.07001},
year = {2020}
}
Comments
20 pages