New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values

TL;DR

This paper applies a cyclotomic multiple zeta value evaluation technique to solve open problems related to inverse binomial series, advancing the understanding of these series in mathematical analysis.

Contribution

It introduces a novel application of cyclotomic multiple zeta values to evaluate inverse binomial series, solving longstanding open problems from a 2010 textbook.

Findings

Solved open problems on inverse binomial series

Demonstrated effectiveness of cyclotomic multiple zeta values in series evaluation

Extended the theoretical framework for series analysis

Abstract

Through the application of an evaluation technique based on cyclotomic multiple zeta values recently due to Au, we solve open problems on inverse binomial series that were included in a 2010 analysis textbook by Chen.