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New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values

Classical Analysis and ODEs 2024-09-04 v2 High Energy Physics - Theory Number Theory

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.

Keywords

Cite

@article{arxiv.2403.16945,
  title  = {New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values},
  author = {John M. Campbell and M. Lawrence Glasser and Yajun Zhou},
  journal= {arXiv preprint arXiv:2403.16945},
  year   = {2024}
}

Comments

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