Congruences for Coefficients of Power Series Expansions of Rational Functions

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Bachelor Thesis

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Abstract

We try to determine which rational functions are the generating function of a sequence satisfying the so-called Gauss congruences. A characterization in the one-variable case is given by G. Minton in 2014. We provide a simpler proof of this result, and work towards a characterization in the multi-variable case.

Keywords

Gauss; congruences; rational functions;

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