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.
Funding Statement
This work was supported by JSPS KAKENHI Grant Numbers JP18K03243 and JP18K13392.
Citation
Minoru HIROSE. Hideki MURAHARA. Shingo SAITO. "Ohno relation for regularized multiple zeta values." J. Math. Soc. Japan 75 (4) 1177 - 1193, October, 2023. https://doi.org/10.2969/jmsj/89088908
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