On the characteristic p valued measure associated to Drinfeld discriminant

JOURNAL OF NUMBER THEORY

卷:132

Article

Yang, Zifeng

关键词: Drinfeld discriminant;    Modular forms;    Bruhat-Tits trees;    Distributions;   

DOI  :  10.1016/j.jnt.2012.04.007

来源: Elsevier

【 摘 要 】

In this paper, after reviewing known results on functions over Bruhat-Tits trees and the theory of characteristic p valued modular forms, we present some structure of the tempered distributions on the projective space P-1 (k(infinity)) over a complete function field K-infinity of characteristic p, and calculate the characteristic p valued measure associated to the Drinfeld discriminant and the characteristic p valued measure associated to the Poincare series. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free