# Dwork's congruences for the constant terms of powers of a Laurent polynomial

### Abstract

In this paper, we prove that the constant terms of powers of a Laurent polynomial satisfy certain congruences modulo prime powers. As a corollary, the generating series of these numbers considered as a function of a p-adic variable admits an analytic continuation in a non-trivial way, as it was shown previously by Dwork for a class of hypergeometric series.

Type
Publication
Int. J. Number Theory 12 (2016), no. 2, 313–321
Date