Dwork's congruences for the constant terms of powers of a Laurent polynomial
Number Theory
2013-06-26 v1 Algebraic Geometry
Abstract
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 satisfies a non-trivial analytic continuation property, similar to what B. Dwork showed for a class of hypergeometric series.
Keywords
Cite
@article{arxiv.1306.5811,
title = {Dwork's congruences for the constant terms of powers of a Laurent polynomial},
author = {Anton Mellit and Masha Vlasenko},
journal= {arXiv preprint arXiv:1306.5811},
year = {2013}
}