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

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

9 Citations (Scopus)

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.

Original language	English
Pages (from-to)	186-193
Number of pages	8
Journal	Bulletin of the Australian Mathematical Society
Volume	93
Issue number	2
DOIs	https://doi.org/10.1017/S0004972715001227
Publication status	Published - Apr 1 2016

All Science Journal Classification (ASJC) codes

General Mathematics

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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",

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year = "2016",

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doi = "10.1017/S0004972715001227",

language = "English",

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AU - Sakata, Mika

PY - 2016/4/1

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

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JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

IS - 2

ER -

ON MULTIPLE ZETA VALUES OF EXTREMAL HEIGHT

Abstract

All Science Journal Classification (ASJC) codes

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