Ce Xu
Published 2017-01-02Version 1
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.
An explicit formula for Bernoulli numbers in terms of Stirling numbers of the second kind
A new explicit formula for Bernoulli and Genocchi numbers in terms of Stirling numbers
Explicit formulas using partitions of integers for numbers defined by recursion
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