arXiv subjects

Kohtaro Imatomi

Publications and source records attributed to Kohtaro Imatomi.

2 recordsLinked to original sources

arXiv2020

Ohno type relations for classical and finite multiple zeta-star values

Ohno's relation is a generalization of both the sum formula and the duality formula for multiple zeta values. Oyama gave a similar relation for finite multiple zeta values, defined by Kaneko and Zagier. In this paper, we prove relations of similar nature for both multiple zeta-star values and finite multiple zeta-star values. Our proof for multiple zeta-star values uses the linear part of Kawashima's relation.

math.NT↗

arXiv2010

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.

math.NT↗