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Algebraic relations of interpolated multiple zeta values
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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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Yamamoto's interpolation of finite multiple zeta and zeta-star values
The interpolated finite multiple zeta and zeta-star values are shown to satisfy cyclic sum, Bowman-Bradley, weighted sum, harmonic, shuffle, duality, and derivation relations.
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