Derivation and double shuffle relations for multiple zeta values

Kentaro Ihara; Masanobu Kaneko; Don Zagier

doi:10.1112/S0010437X0500182X

Derivation and double shuffle relations for multiple zeta values

Kentaro Ihara, Masanobu Kaneko, Don Zagier

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

204 Citations (Scopus)

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	32
Journal	Compositio Mathematica
Volume	142
Issue number	2
DOIs	https://doi.org/10.1112/S0010437X0500182X
Publication status	Published - 2006

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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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.",

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AU - Kaneko, Masanobu

AU - Zagier, Don

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JO - Compositio Mathematica

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Derivation and double shuffle relations for multiple zeta values

Abstract

All Science Journal Classification (ASJC) codes

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