On some conjectural series containing binomial coefficients and harmonic numbers
Combinatorics
2023-06-06 v1
Abstract
Binomial coefficients and harmonic numbers are important in many branches of number theory. With the help of the operator method and several summation and transformation formulas for hypergeometric series, we prove eight conjectural series of Z.-W. Sun containing binomial coefficients and harmonic numbers in this paper.
Cite
@article{arxiv.2306.02641,
title = {On some conjectural series containing binomial coefficients and harmonic numbers},
author = {Chuanan Wei},
journal= {arXiv preprint arXiv:2306.02641},
year = {2023}
}