English

Note on cyclic sum of certain parametrized multiple series

Number Theory 2022-06-03 v1

Abstract

We prove the cyclic sum formulas for certain two-parameter multiple series. These are new and non-trivial generalizations of the cyclic sum formulas for multiple zeta values and multiple zeta-star values.

Keywords

Cite

@article{arxiv.2206.01190,
  title  = {Note on cyclic sum of certain parametrized multiple series},
  author = {Masahiro Igarashi},
  journal= {arXiv preprint arXiv:2206.01190},
  year   = {2022}
}

Comments

26 pages

R2 v1 2026-06-24T11:37:30.242Z