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

Minoru Hirose; Kotaro Imatomi; Hideki Murahara; Shingo Saito

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

Minoru Hirose, Kotaro Imatomi, Hideki Murahara, Shingo Saito

Division for Theoretical Natural Science

Research output: Contribution to journal › Article › peer-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.

11M32 (Primary) 05A19 (Secondary)

Original language	English
Journal	Unknown Journal
Publication status	Published - Jun 25 2018

All Science Journal Classification (ASJC) codes

General

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title = "Ohno type relations for classical and finite multiple zeta-star values",

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.11M32 (Primary) 05A19 (Secondary)",

author = "Minoru Hirose and Kotaro Imatomi and Hideki Murahara and Shingo Saito",

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language = "English",

journal = "Quaternary International",

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T1 - Ohno type relations for classical and finite multiple zeta-star values

AU - Hirose, Minoru

AU - Imatomi, Kotaro

AU - Murahara, Hideki

AU - Saito, Shingo

PY - 2018/6/25

Y1 - 2018/6/25

N2 - 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.11M32 (Primary) 05A19 (Secondary)

AB - 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.11M32 (Primary) 05A19 (Secondary)

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