Ohno-type relations for classical and finite multiple zeta-star values

Minoru Hirose, Kohtaro Imatomi, Hideki Murahara, Shingo Saito

Research output: Contribution to journalArticlepeer-review

Abstract

Ohno’s relation is a generalization of both the sum formula and the duality formula for multiple zeta values. Oyama gave a similar relation for finite multiple zeta values, defined by Kaneko and Zagier. In this paper, we prove relations of similar nature for both multiple zeta-star values and finite multiple zeta-star values. Our proof for multiple zeta-star values uses the linear part of Kawashima’s relation.

Original languageEnglish
Pages (from-to)115-124
Number of pages10
JournalKyushu Journal of Mathematics
Volume75
Issue number1
DOIs
Publication statusPublished - 2021

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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