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Talk: Gauss congruences

Gauss congruences

Date: 2018/05/08
Occasion: International Conference on Mathematics and Statistics (ICOMAS 2018), Special Session on Analytic Number Theory
Place: University of Memphis

Abstract

The Gauss congruences are a natural generalization of the more familiar Fermat and Euler congruences. Interesting families of combinatorial and number theoretic sequences are known to satisfy these congruences. Though a general classification remains wide open, Minton characterized constant recursive sequences satisfying Gauss congruences. We consider the natural extension of this question to Laurent coefficients of multivariate rational functions. This talk is based on joint work with Frits Beukers and Marc Houben.

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