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Abstract. In this paper we revive and bring to light the quadratic series of Au-Yeungwhere H n denotes the n th harmonic number. We prove this series identity by using a technique based on the computation of a special logarithmic integral combined with Abel's summation formula.Mathematics subject classification (2010): 40C10, 40A05.

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Abstract. In the actual paper we present and prove a new powerful theorem, a Master Theorem of Series, with important implications and numerous applications in the area of calculation of series with the generalized harmonic numbers. Using the mentioned theorem, we calculate one of the classical advanced cubic harmonic series by elementary series manipulations.Mathematics subject classification (2010): 40G10, 40A05.