International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 5-8, Pages 295-318
doi:10.1155/S0161171204210419

On a trivial zero problem

Shaowei Zhang

Department of Mathematics and Statistics, Boston University, 02215, MA, USA

Abstract

One trivial zero phenomenon for p-adic analytic function is considered. We then prove that the first derivative of this function is essentially the Kummer class associated with p.