A new proof of the duality of multiple zeta values and its generalizations

Shin Ichiro Seki; Shuji Yamamoto

doi:10.1142/S1793042119500702

A new proof of the duality of multiple zeta values and its generalizations

Shin Ichiro Seki
, Shuji Yamamoto

理工学研究科

研究成果: Article › 査読

9 被引用数 (Scopus)

抄録

We give a new proof of the duality of multiple zeta values, which makes no use of the iterated integrals. The same method is also applicable to Ohno's relation for (q-)multiple zeta values.

本文言語	English
ページ（範囲）	1261-1265
ページ数	5
ジャーナル	International Journal of Number Theory
巻	15
号	6
DOI	https://doi.org/10.1142/S1793042119500702
出版ステータス	Published - 2019 7月 1

ASJC Scopus subject areas

代数と数論

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10.1142/S1793042119500702

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引用スタイル

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title = "A new proof of the duality of multiple zeta values and its generalizations",

abstract = "We give a new proof of the duality of multiple zeta values, which makes no use of the iterated integrals. The same method is also applicable to Ohno's relation for (q-)multiple zeta values.",

keywords = "Multiple zeta values, Ohno's relation, duality, q-multiple zeta values, sum formula",

author = "Seki, \{Shin Ichiro\} and Shuji Yamamoto",

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AU - Yamamoto, Shuji

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N2 - We give a new proof of the duality of multiple zeta values, which makes no use of the iterated integrals. The same method is also applicable to Ohno's relation for (q-)multiple zeta values.

AB - We give a new proof of the duality of multiple zeta values, which makes no use of the iterated integrals. The same method is also applicable to Ohno's relation for (q-)multiple zeta values.

KW - Multiple zeta values

KW - Ohno's relation

KW - duality

KW - q-multiple zeta values

KW - sum formula

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JO - International Journal of Number Theory

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A new proof of the duality of multiple zeta values and its generalizations

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