SummaryThe paper is about the calculation of the nonlinear harmonic series k), where k is a nonnegative integer and Hn denotes the nth harmonic number. We show that, when k ≥ 1, the sum Sk can be written as a rational linear combination of ζ(2), ζ(3), and the first k harmonic numbers.
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Ovidiu Furdui (2011) studied this question.
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