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arXiv · 2404.08941

A combinatorial approach to Berkovich type identities

Ji-Cai Liu
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Abstract

Motivated by Berkovich's nine $q$-binomial identities involving the Legendre symbol $(\frac{d}{3})$, we establish a unified form of $q$-binomial identities of this type through a combinatorial approach. This unified form includes Berkovich's nine identities as special cases. Many such identities can be also deduced from this unified form.

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Ji-Cai Liu. 2024-04-13. A combinatorial approach to Berkovich type identities. https://arxiv.org/abs/2404.08941

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