English

Sun's Three Conjectures on Ap\'{e}ry-like Sums Involving Harmonic Numbers

Number Theory 2022-03-15 v2

Abstract

In this paper, we will give another proof of Zhi-Wei Sun's three conjectures on Ap\'{e}ry-like sums involving harmonic numbers by proving some identities among special values of multiple polylogarithms.

Keywords

Cite

@article{arxiv.2203.04184,
  title  = {Sun's Three Conjectures on Ap\'{e}ry-like Sums Involving Harmonic Numbers},
  author = {Ce Xu and Jianqiang Zhao},
  journal= {arXiv preprint arXiv:2203.04184},
  year   = {2022}
}

Comments

6 pages

R2 v1 2026-06-24T10:06:12.825Z