### Abstract

A generating function for specified sums of multiple zeta values is defined and a differential equation that characterizes this function is given. As applications, some relations for multiple zeta values over the field of rational numbers are discussed.

Original language | English |
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Pages (from-to) | 387-395 |

Number of pages | 9 |

Journal | Proceedings of the American Mathematical Society |

Volume | 136 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2008 Feb 1 |

Externally published | Yes |

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

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## Cite this

Aoki, T., Kombu, Y., & Ohno, Y. (2008). A generating function for sums of multiple zeta values and its applications.

*Proceedings of the American Mathematical Society*,*136*(2), 387-395. https://doi.org/10.1090/S0002-9939-07-09175-7