# Dwork Congruences and reflexive Polytopes

## TL;DR

This paper demonstrates that the coefficients of the principal period's power series for Laurent polynomials obey significant congruence relations, aiding in p-adic analytic continuation of the unit root.

## Contribution

It establishes strong congruence properties for these coefficients, linking Dwork congruences with reflexive polytopes.

## Key findings

- Coefficients satisfy strong congruences.
- Facilitates p-adic analytic continuation.
- Connects Dwork congruences with reflexive polytopes.

## Abstract

We show that the coefficients of the power series expansion of the principal period of a Laurent polynomial satisfy strong congruence properties. These congruences play a key role in the explicit p-adic analytic continuation of the unit root.