Algebraic relations of interpolated multiple zeta values

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.

arXiv comment34 pages

References in corpus (1)

• Quasi-shuffle products revisited

Cited by in corpus (2)

• Yamamoto's interpolation of finite multiple zeta and zeta-star values
• Ohno-type relation for interpolated multiple zeta values