English

On some conjectures of Z.-W. Sun involving harmonic numbers

Combinatorics 2023-04-20 v1 Number Theory

Abstract

Harmonic numbers are significant in various branches of number theory. With the help of the digamma function, we prove ten conjectural series of Z.-W. Sun involving harmonic numbers. Several ones of them are also series expansions of log2/π2\log2/\pi^2.

Keywords

Cite

@article{arxiv.2304.09753,
  title  = {On some conjectures of Z.-W. Sun involving harmonic numbers},
  author = {Chuanan Wei},
  journal= {arXiv preprint arXiv:2304.09753},
  year   = {2023}
}