Work

Equidistribution of Gross points over rational function fields

Year: 2019

Type: preprint

Abstract: In this paper we prove a sparse equidistribution theorem for Gross points over the rational function field $\mathbb{F}_q(t)$. 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 Lindelöf-type bound for central values of Rankin-Selberg $L$-functions associated to twists of automorphic forms of Drinfeld-type by ideal class group characters.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1905.07001

Authors: El-Guindy, Ahmad, Masri, Riad, Papanikolas, Matthew, Zeng, Guchao

Institutions: Texas A&M University, Texas A&M University at Qatar, Cairo University

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Qatar Foundation, Fonds National de la Recherche Luxembourg, Qatar National Research Fund

OpenAlex ID: W2945008774

Cites: 19

Cited by:

Related to: 19