Algebraic relations of interpolated multiple zeta values

2019/04/22 by Li, Zhonghua
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1904.09887

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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