Title: Explicit evaluation of harmonic sums,
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.