Generalized Harmonic Progression (1811.11305v17)

Published 27 Nov 2018 in math.NT

Abstract: This paper presents formulae for the sum of the terms of a harmonic progression of order $k$ with integer parameters, $HP_k(n)$, and for the partial sums of its two associated Fourier series, $C^{m_{k}(a,b,n)$} and $S^{m_{k}(a,b,n)$.} These new formulae are a generalization of the formulae created in a previous paper and were achieved using a slightly modified version of the reasoning employed before.

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Authors (1)

Jose Risomar Sousa

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