Sun's Series via Cyclotomic Multiple Zeta Values
Number Theory
2023-10-13 v3 High Energy Physics - Theory
Combinatorics
Abstract
We prove and generalize several recent conjectures of Z.-W. Sun surrounding binomial coefficients and harmonic numbers. We show that Sun's series and their analogs can be represented as cyclotomic multiple zeta values of levels , namely Goncharov's multiple polylogarithms evaluated at -th roots of unity.
Cite
@article{arxiv.2306.04638,
title = {Sun's Series via Cyclotomic Multiple Zeta Values},
author = {Yajun Zhou},
journal= {arXiv preprint arXiv:2306.04638},
year = {2023}
}
Comments
Addendum to arXiv:2210.17243v3, verifying and generalizing Conjectures 2.2-2.8 in arXiv:2210.07238v8