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http://dx.doi.org/10.4134/CKMS.c160277

EXPLICIT EVALUATION OF HARMONIC SUMS  

Xu, Ce (School of Mathematical Sciences Xiamen University)
Publication Information
Communications of the Korean Mathematical Society / v.33, no.1, 2018 , pp. 13-36 More about this Journal
Abstract
In this paper, we obtain some formulae for harmonic sums, alternating harmonic sums and Stirling number sums by using the method of integral representations of series. As applications of these formulae, we give explicit formula of several quadratic and cubic Euler sums through zeta values and linear sums. Furthermore, some relationships between harmonic numbers and Stirling numbers of the first kind are established.
Keywords
harmonic number; Euler sum; Riemann zeta function; Stirling number;
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Times Cited By KSCI : 1  (Citation Analysis)
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