On the duality formula for parametrized multiple series
Number Theory
2023-03-28 v3
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.
Cite
@article{arxiv.2201.01651,
title = {On the duality formula for parametrized multiple series},
author = {Masahiro Igarashi},
journal= {arXiv preprint arXiv:2201.01651},
year = {2023}
}
Comments
v3; altered notation