Algebraic relations of interpolated multiple zeta values

Zhonghua Li

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arXiv · 1904.09887

Algebraic relations of interpolated multiple zeta values

Zhonghua Li

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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.

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Zhonghua Li. 2019-04-22. Algebraic relations of interpolated multiple zeta values. https://arxiv.org/abs/1904.09887

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