Derivation and double shuffle relations for multiple zeta values

Kentaro Ihara; Masanobu Kaneko; Don Zagier

Derivation and double shuffle relations for multiple zeta values

Kentaro Ihara, Masanobu Kaneko, Don Zagier

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

Abstract

Derivation and extended double shuffle (EDS) relations for multiple zeta values (MZVs) are proved. Related algebraic structures of MZVs, as well as a ‘linearized’ version of EDS relations are also studied.

Original language	English
Pages (from-to)	307-338
Number of pages	12
Journal	Compositio Mathematica
Volume	142-02
Publication status	Published - 2006

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title = "Derivation and double shuffle relations for multiple zeta values",

abstract = "Derivation and extended double shuffle (EDS) relations for multiple zeta values (MZVs) are proved. Related algebraic structures of MZVs, as well as a {\textquoteleft}linearized{\textquoteright} version of EDS relations are also studied.",

author = "Kentaro Ihara and Masanobu Kaneko and Don Zagier",

year = "2006",

language = "English",

volume = "142-02",

pages = "307--338",

journal = "Compositio Mathematica",

issn = "0010-437X",

publisher = "Cambridge University Press",

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TY - JOUR

T1 - Derivation and double shuffle relations for multiple zeta values

AU - Ihara, Kentaro

AU - Kaneko, Masanobu

AU - Zagier, Don

PY - 2006

Y1 - 2006

N2 - Derivation and extended double shuffle (EDS) relations for multiple zeta values (MZVs) are proved. Related algebraic structures of MZVs, as well as a ‘linearized’ version of EDS relations are also studied.

AB - Derivation and extended double shuffle (EDS) relations for multiple zeta values (MZVs) are proved. Related algebraic structures of MZVs, as well as a ‘linearized’ version of EDS relations are also studied.

M3 - Article

SN - 0010-437X

VL - 142-02

SP - 307

EP - 338

JO - Compositio Mathematica

JF - Compositio Mathematica

ER -

Derivation and double shuffle relations for multiple zeta values

Abstract

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