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arXiv · 1806.09299

Ohno type relations for classical and finite multiple zeta-star values

Minoru Hirose·Kohtaro Imatomi·Hideki Murahara·Shingo Saito
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Abstract

Ohno's relation is a generalization of both the sum formula and the duality formula for multiple zeta values. Oyama gave a similar relation for finite multiple zeta values, defined by Kaneko and Zagier. In this paper, we prove relations of similar nature for both multiple zeta-star values and finite multiple zeta-star values. Our proof for multiple zeta-star values uses the linear part of Kawashima's relation.

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Minoru Hirose, Kohtaro Imatomi, Hideki Murahara, Shingo Saito. 2018-06-25. Ohno type relations for classical and finite multiple zeta-star values. https://arxiv.org/abs/1806.09299

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