Duality formula uncovers new identities among parametrized multiple series, highlighting their relations.
We show that a duality formula for certain parametrized multiple series yields numerous relations among them. As a result, we obtain a new relation among extended multiple zeta values, which is an extension of Ohno’s relation for multiple zeta values. We perform the same study for multiple Hurwitz zeta values, and obtain a new identity for them.
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Masahiro Igarashi (2025) studied this question.
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