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

By Anton Mellit, Masha Vlasenko. 2013

47 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/35785573f67afd36b1ad09d0b263bdd46a3423e4