On some combinations of multiple zeta-star values

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  • 多重ゼータスター値のある組み合わせについて

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Abstract

We prove that the sum of multiple zeta-star values over all indices inserted two 2’s into the string 3; 1 ,...,3; 1 is evaluated to a rational multiple of powers of π^2. We also establish certain conjectures on evaluations of multiple zeta-star values observed by numerical experiments.

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