A parametrized generalization of Ohno's relation for multiple zeta values
Number Theory
2011-04-21 v8
Abstract
In this paper, we prove that certain parametrized multiple series which generalize multiple zeta values satisfy the same relation as Ohno's relation for multiple zeta values. This is a parametrized generalization of Ohno's relation for multiple zeta values. By virtue of this generalization, we obtain a certain equivalence between the relation for the parametrized multiple series and its subfamily. As applications of the above results, we obtain some results for multiple zeta values.
Keywords
Cite
@article{arxiv.0908.2536,
title = {A parametrized generalization of Ohno's relation for multiple zeta values},
author = {Masahiro Igarashi},
journal= {arXiv preprint arXiv:0908.2536},
year = {2011}
}
Comments
The contents of this version are completely the same as those of the paper submitted to the Journal of Number Theory on June 26, 2008