Algebraic relations of interpolated multiple zeta values
Number Theory
2019-04-23 v1
Abstract
Interpolated multiple zeta values can be regarded as interpolation polynomials of multiple zeta values and multiple zeta-star values. In this paper, we give some algebraic relations of interpolated multiple zeta values, such as the symmetric sum formula, the shuffle regularized sum formula, a weighted sum formula and some evaluation formulas with even arguments. All the algebraic relations provided in this paper are deduced from the extended double shuffle relations.
Keywords
Cite
@article{arxiv.1904.09887,
title = {Algebraic relations of interpolated multiple zeta values},
author = {Zhonghua Li},
journal= {arXiv preprint arXiv:1904.09887},
year = {2019}
}
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34 pages