Algebraic identities on q-harmonic numbers and q-binomial coefficients

Said Zriaa; Mohammed Mouçouf

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arXiv · 2301.13747

Algebraic identities on q-harmonic numbers and q-binomial coefficients

Said Zriaa·Mohammed Mouçouf

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Abstract

The aim of this paper is to present a general algebraic identity. Applying this identity, we provide several formulas involving the q-binomial coefficients and the q-harmonic numbers. We also recover some known identities including an algebraic identity of D. Y. Zheng on q-Apéry numbers and we establish the q-analog of Euler's formula. The proposed results may have important applications in the theory of q-supercongruences.

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BibTeX RIS

Said Zriaa, Mohammed Mouçouf. 2023-01-31. Algebraic identities on q-harmonic numbers and q-binomial coefficients. https://arxiv.org/abs/2301.13747

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