On the characteristic $p$ valued measure associated to Drinfeld discriminant

Abstract

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 ${\P1}(\bk_\infty)$ over a complete function field $\bk_\infty$ of characteristic $p$, and calculate the characteristic $p$ valued measure associated to the Drinfeld discriminant and the characteristic $p$ valued measure associated to the Poincaé series.

41 pages

References in corpus (1)

• Ergodic Theory Over ${\F}_2[[T]]$