Sun's Series via Cyclotomic Multiple Zeta Values

被引：1
|
作者：
Zhou, Yajun [1 ,2 ]
机构：
[1] Princeton Univ, Program Appl & Computat Math PACM, Princeton, NJ 08544 USA
[2] Peking Univ, Acad Adv Interdisciplinary Studies AAIS, Beijing 100871, Peoples R China
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2023年 / 19卷
关键词：
Sun's series; binomial coefficients; harmonic numbers; cyclotomic multiple zeta values; BINOMIAL SUMS; EXPANSION; DIAGRAMS;
D O I：
10.3842/SIGMA.2023.074
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 E {4, 8,12,16, 24}, namely Goncharov's multiple polylogarithms evaluated at N-th roots of unity.
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页数：20
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