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arXiv · 2201.01651

On the duality formula for parametrized multiple series

Masahiro Igarashi
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Abstract

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 do the same study also to multiple Hurwitz zeta values, and obtain a new identity for them.

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Masahiro Igarashi. 2023-03-26. On the duality formula for parametrized multiple series. https://arxiv.org/abs/2201.01651

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