From Basel Problem to multiple zeta values
Number Theory
2021-12-08 v1
Abstract
We show many consequences of the proof of Basel problem by Boo Rim Choe (1987) to central binomial series, multiple zeta values and some other multiple sums. The main idea is to evaluate integrals involving powers of arcsine function.
Cite
@article{arxiv.2112.03361,
title = {From Basel Problem to multiple zeta values},
author = {Masato Kobayashi},
journal= {arXiv preprint arXiv:2112.03361},
year = {2021}
}
Comments
18 pages