On alternating sums of binomial coefficients and $q$-binomial coefficients

Mohamed El Bachraoui

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arXiv · 1603.03881

On alternating sums of binomial coefficients and $q$-binomial coefficients

Mohamed El Bachraoui

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Abstract

In this paper we shall evaluate two alternating sums of binomial coefficients by a combinatorial argument. Moreover, by combining the same combinatorial idea with partition theoretic techniques, we provide $q$-analogues involving the $q$-binomial coefficients.

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Mohamed El Bachraoui. 2016-06-04. On alternating sums of binomial coefficients and $q$-binomial coefficients. https://arxiv.org/abs/1603.03881

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