Sun's Series via Cyclotomic Multiple Zeta Values

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2023
• ISSN: 1815-0659
• 1. Verfasser: Zhou, Yajun
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2023
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/212010
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Sun's Series via Cyclotomic Multiple Zeta Values. Yajun Zhou. SIGMA 19 (2023), 074, 20 pages

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 ∈ {4, 8, 12, 16, 24}, namely Goncharov's multiple polylogarit...