Geodesic
Sun's Series via Cyclotomic Multiple Zeta Values
Symmetry, integrability and geometry: methods and applications, Tome 19 (2023) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: Sun's series, harmonic numbers, cyclotomic multiple zeta values.
Mots-clés : binomial coefficients 
@article{SIGMA_2023_19_a73,
     author = {Yajun Zhou},
     title = {Sun's {Series} via {Cyclotomic} {Multiple} {Zeta} {Values}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2023},
     volume = {19},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2023_19_a73/}
}
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Yajun Zhou. Sun's Series via Cyclotomic Multiple Zeta Values. Symmetry, integrability and geometry: methods and applications, Tome 19 (2023). http://geodesic.mathdoc.fr/item/SIGMA_2023_19_a73/

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