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math.NT2018★ 2 cited
Generalized Harmonic Progression
Jose Risomar Sousa
This paper presents formulae for the sum of the terms of a harmonic progression of order with integer parameters, , and for the partial sums of its two associ…
math.NT2018
Generalized Harmonic Numbers
Jose Risomar Sousa
This paper presents new formulae for the harmonic numbers of order , , and for the partial sums of two Fourier series associated with them, denoted here by $C^m_{k}(n)…