A Note on Sun's Conjectures on Ap\'ery-like Sums Involving Lucas Sequences and Harmonic Numbers
Number Theory
2023-09-19 v1
Abstract
In this paper, we will prove Zhi-Wei Sun's four conjectural identities on Ap\'{e}ry-like sums involving Lucas sequences and harmonic numbers by using a few results of Davydychev--Kalmykov.
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Cite
@article{arxiv.2204.08277,
title = {A Note on Sun's Conjectures on Ap\'ery-like Sums Involving Lucas Sequences and Harmonic Numbers},
author = {Ce Xu and Jianqiang Zhao},
journal= {arXiv preprint arXiv:2204.08277},
year = {2023}
}
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4 pages