English

Euler sums of generalized alternating hyperharmonic numbers II

Number Theory 2021-08-03 v1

Abstract

In this paper, we introduce a new type of generalized alternating hyperharmonic numbers Hn(p,r,s1,s2)H_n^{(p,r,s_{1},s_{2})}, and show that Euler sums of the generalized alternating hyperharmonic numbers Hn(p,r,s1,s2)H_n^{(p,r,s_{1},s_{2})} can be expressed in terms of linear combinations of classical (alternating) Euler sums.

Keywords

Cite

@article{arxiv.2108.00826,
  title  = {Euler sums of generalized alternating hyperharmonic numbers II},
  author = {Rusen Li},
  journal= {arXiv preprint arXiv:2108.00826},
  year   = {2021}
}

Comments

33 pages

R2 v1 2026-06-24T04:45:01.810Z