## Abstract

Bowman and Bradley obtained a remarkable formula among multiple zeta values. The formula states that the sum of multiple zeta values for indices which consist of the shuffle of two kinds of the strings {1, 3, …, 1, 3} and {2, …, 2} is a rational multiple of a power of π^{2}. Recently, Saito and Wakabayashi proved that analogous but more general sums of finite multiple zeta values in an adelic ring_{1} vanish. In this paper, we partially lift Saito-Wakabayashi’s theorem from_{1} to_{2}. Our result states that a Bowman-Bradley type sum of finite multiple zeta values in_{2} is a rational multiple of a special element and this is closer to the original Bowman-Bradley theorem.

Original language | English |
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Pages (from-to) | 647-653 |

Number of pages | 7 |

Journal | Osaka Journal of Mathematics |

Volume | 57 |

Issue number | 3 |

Publication status | Published - 2020 |

## All Science Journal Classification (ASJC) codes

- Mathematics(all)

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