2 citations · 2 across the 4 of their papers we have counts for
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Lerch's and the Polylogarithm at the Positive Integers
Jose Risomar Sousa
We review the closed forms of the partial Fourier sums associated with $\HP_k(n)$ from a previous paper and create an asymptotic expression for $\HP(n)$ as a way to obtain formulae…
The Hurwitz Zeta Function at the Positive Integers
Jose Risomar Sousa
A formula for the Hurwitz zeta function at the positive integers , , is created by solving the real and the imaginary parts separately and then combining them. A few di…
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…
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)…