Sun's Series via Cyclotomic Multiple Zeta Values

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

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2023
1. Verfasser: Zhou, Yajun
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2023
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/212010
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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

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Digital Library of Periodicals of National Academy of Sciences of Ukraine