On some combinations of multiple zeta-star values

Details On some combinations of multiple zeta-star values On some combinations of multiple zeta-star values

2009-12-10

arxiv.org/abs/0912.1951v2

Mathematics

Number Theory

14 pages

Scientific paper

We prove that the sum of multiple zeta-star values over all indices inserted
two 2's into the string $(\underbrace{3,1, ..., 3,1}_{2n})$ is evaluated to a
rational multiple of powers of $\pi^2$. We also establish certain conjectures
on evaluations of multiple zeta-star values observed by numerical experiments.

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