Algebraic identities on q-harmonic numbers and q-binomial coefficients
Combinatorics
2023-02-01 v1
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-Ap\'{e}ry numbers and we establish the q-analog of Euler's formula. The proposed results may have important applications in the theory of q-supercongruences.
Cite
@article{arxiv.2301.13747,
title = {Algebraic identities on q-harmonic numbers and q-binomial coefficients},
author = {Said Zriaa and Mohammed Mouçouf},
journal= {arXiv preprint arXiv:2301.13747},
year = {2023}
}
Comments
8 pages