SOME RESULTS ON PARAMETRIC EULER SUMS

被引：0
作者：
Xu, Ce [1 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2017年 / 54卷 / 04期
关键词：
harmonic number; Euler sum; Riemann zeta function; Hurwitz zeta function; INTEGRALS; SERIES;
D O I：
10.4134/BKMS.b160528
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we present a new family of identities for parametric Euler sums which generalize a result of David Borwein et al. [2]. We then apply it to obtain a family of identities relating quadratic and cubic sums to linear sums and zeta values. Furthermore, we also evaluate several other series involving harmonic numbers and alternating harmonic numbers, and give explicit formulas.
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收藏
页码：1255 / 1280
页数：26
相关论文
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