New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values

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.

a sequel to arXiv:2210.17243v4 and arXiv:2306.04638v3

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• On a problem involving the squares of odd harmonic numbers
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Cited by in corpus (2)

• Hyper-Mahler measures via Goncharov-Deligne cyclotomy
• Explicit Evaluation of Euler-Apéry Type Multiple Zeta Star Values and Multiple $t$-Star Values