Evaluations of sums involving odd harmonic numbers and binomial coefficients

被引：0

作者：

Zheng, W. ^{[1
]}

Yang, Y. ^{[2
]}

机构：

[1] Jiangsu Second Normal Univ, Sch Phys & Informat Engn, Nanjing 210013, Peoples R China

[2] Tarm Univ, Sch Mech & Elect Engn, Alar 843300, Peoples R China

来源：

ANALYSIS MATHEMATICA | 2024年 / 50卷 / 01期

关键词：

Euler T-type sum; Kaneko-Tsumura's multiple T-value; odd harmonic number; binomial coefficient; MULTIPLE ZETA VALUES; EULER;

D O I：

10.1007/s10476-024-00011-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we extend tools developed in [9] to study Euler T-type sums involving odd harmonic numbers and binomial coefficients. In particular, we will prove that two kinds of Euler T-type sums can be expressed in terms of log(2), zeta values, double T-values, (odd) harmonic numbers and double T-sums.

引用

页码：1 / 30

页数：30

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