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arXiv · 1306.5811

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

Anton Mellit·Masha Vlasenko
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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.

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Anton Mellit, Masha Vlasenko. 2013-06-24. Dwork's congruences for the constant terms of powers of a Laurent polynomial. https://arxiv.org/abs/1306.5811

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