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Ohno type relations for classical and finite multiple zeta-star values (1806.09299v2)
Published 25 Jun 2018 in math.NT and math.CO
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.