### Abstract

The sum formula for multiple zeta values are derived, via the Mellin transform, from the Euler connection formula and the Landen connection formula for poly logarithms. These connection formulas for multiple polylogarithms will be considered in the framework of the theory of the formal Knizhnik-Zamolodchikov equation.

Original language | English |
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Title of host publication | Developments in Mathematics |

Pages | 145-170 |

Number of pages | 26 |

Volume | 14 |

Publication status | Published - 2005 |

### Publication series

Name | Developments in Mathematics |
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Volume | 14 |

ISSN (Print) | 13892177 |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Developments in Mathematics*(Vol. 14, pp. 145-170). (Developments in Mathematics; Vol. 14).

**The sum formula for multiple zeta values and connection problem of the formal Knizhnik-Zamolodchikov equation.** / Jun-ichi, Okuda; Ueno, Kimio.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Developments in Mathematics.*vol. 14, Developments in Mathematics, vol. 14, pp. 145-170.

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TY - CHAP

T1 - The sum formula for multiple zeta values and connection problem of the formal Knizhnik-Zamolodchikov equation

AU - Jun-ichi, Okuda

AU - Ueno, Kimio

PY - 2005

Y1 - 2005

N2 - The sum formula for multiple zeta values are derived, via the Mellin transform, from the Euler connection formula and the Landen connection formula for poly logarithms. These connection formulas for multiple polylogarithms will be considered in the framework of the theory of the formal Knizhnik-Zamolodchikov equation.

AB - The sum formula for multiple zeta values are derived, via the Mellin transform, from the Euler connection formula and the Landen connection formula for poly logarithms. These connection formulas for multiple polylogarithms will be considered in the framework of the theory of the formal Knizhnik-Zamolodchikov equation.

UR - http://www.scopus.com/inward/record.url?scp=68549133500&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=68549133500&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:68549133500

SN - 9780387249728

VL - 14

T3 - Developments in Mathematics

SP - 145

EP - 170

BT - Developments in Mathematics

ER -