### 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 |
---|---|

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 |
---|---|

Volume | 14 |

ISSN (Print) | 13892177 |

### ASJC Scopus subject areas

- Mathematics(all)

## Fingerprint Dive into the research topics of 'The sum formula for multiple zeta values and connection problem of the formal Knizhnik-Zamolodchikov equation'. Together they form a unique fingerprint.

## Cite this

Jun-ichi, O., & Ueno, K. (2005). The sum formula for multiple zeta values and connection problem of the formal Knizhnik-Zamolodchikov equation. In

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