Sun's Series via Cyclotomic Multiple Zeta Values

Autor:	Zhou, Yajun
Rok vydání:	2023
Předmět:	Mathematics - Number Theory High Energy Physics - Theory Mathematics - Combinatorics 11M32 11B65
Zdroj:	SIGMA 19 (2023), 074, 20 pages
Druh dokumentu:	Working Paper
DOI:	10.3842/SIGMA.2023.074
Popis:	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 $N\in\{4,8,12,16,24\}$, namely Goncharov's multiple polylogarithms evaluated at $N$-th roots of unity. Comment: Addendum to arXiv:2210.17243v3, verifying and generalizing Conjectures 2.2-2.8 in arXiv:2210.07238v8
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2306.04638 Zobrazit plný text záznamu View this record from Arxiv