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arXiv · 2105.09631

Ohno relation for regularized multiple zeta values

Minoru Hirose·Hideki Murahara·Shingo Saito
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Abstract

The Ohno relation for multiple zeta values can be formulated as saying that a certain operator, defined for indices, is invariant under taking duals. In this paper, we generalize the Ohno relation to regularized multiple zeta values by showing that, although the suitably generalized operator is not invariant under taking duals, the relation between its values at an index and at its dual index can be written explicitly in terms of the gamma function.

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Minoru Hirose, Hideki Murahara, Shingo Saito. 2021-05-20. Ohno relation for regularized multiple zeta values. https://arxiv.org/abs/2105.09631

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