ON MULTIPLE ZETA VALUES OF EXTREMAL HEIGHT

Masanobu Kaneko; Mika Sakata

doi:10.1017/S0004972715001227

ON MULTIPLE ZETA VALUES OF EXTREMAL HEIGHT

Masanobu Kaneko
, Mika Sakata

研究成果: ジャーナルへの寄稿 › 学術誌 › 査読

9 被引用数 (Scopus)

抄録

We give three identities involving multiple zeta values of height one and of maximal height: an explicit formula for the height-one multiple zeta values, a regularised sum formula and a sum formula for the multiple zeta values of maximal height.

本文言語	英語
ページ（範囲）	186-193
ページ数	8
ジャーナル	Bulletin of the Australian Mathematical Society
巻	93
号	2
DOI	https://doi.org/10.1017/S0004972715001227
出版ステータス	出版済み - 4月 1 2016

!!!All Science Journal Classification (ASJC) codes

数学一般

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10.1017/S0004972715001227

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title = "ON MULTIPLE ZETA VALUES OF EXTREMAL HEIGHT",

abstract = "We give three identities involving multiple zeta values of height one and of maximal height: an explicit formula for the height-one multiple zeta values, a regularised sum formula and a sum formula for the multiple zeta values of maximal height.",

keywords = "Arakawa-Kaneko zeta function, multiple zeta values",

author = "Masanobu Kaneko and Mika Sakata",

note = "Publisher Copyright: {\textcopyright} 2015 Australian Mathematical Publishing Association Inc.",

year = "2016",

month = apr,

day = "1",

doi = "10.1017/S0004972715001227",

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journal = "Bulletin of the Australian Mathematical Society",

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AU - Sakata, Mika

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Y1 - 2016/4/1

N2 - We give three identities involving multiple zeta values of height one and of maximal height: an explicit formula for the height-one multiple zeta values, a regularised sum formula and a sum formula for the multiple zeta values of maximal height.

AB - We give three identities involving multiple zeta values of height one and of maximal height: an explicit formula for the height-one multiple zeta values, a regularised sum formula and a sum formula for the multiple zeta values of maximal height.

KW - Arakawa-Kaneko zeta function

KW - multiple zeta values

UR - https://www.scopus.com/pages/publications/84960812358

UR - https://www.scopus.com/pages/publications/84960812358#tab=citedBy

U2 - 10.1017/S0004972715001227

DO - 10.1017/S0004972715001227

M3 - Article

AN - SCOPUS:84960812358

SN - 0004-9727

VL - 93

SP - 186

EP - 193

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

IS - 2

ER -

ON MULTIPLE ZETA VALUES OF EXTREMAL HEIGHT

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!!!All Science Journal Classification (ASJC) codes

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