Equidistribution of Gross points over rational function fields Academic Article uri icon

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 Lindel"of-type bound for central values of Rankin-Selberg $L$-functions associated to twists of automorphic forms of Drinfeld-type by ideal class group characters.

author list (cited authors)

  • El-Guindy, A., Masri, R., Papanikolas, M., & Zeng, G.

publication date

  • January 1, 2019 11:11 AM