On alternating sums of binomial coefficients and q-binomial coefficients

2016/03/12 by Mohamed El Bachraoui, Bachraoui, Mohamed El
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1603.03881

openalex publication_date 2016/03/12 · openalex created_date 2016/07/22 · openalex updated_date 2026/07/28

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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