On some combinations of multiple zeta-star values

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 $π^2$. We also establish certain conjectures on evaluations of multiple zeta-star values observed by numerical experiments.

No reviews yet.

No comments yet.