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math.NT2020
A Reformulation of the Riemann Hypothesis
Jose Risomar Sousa
We present some novelties on the Riemann zeta function. Using an extended formula created for the polylogarithm in a previous paper, , the zeta function's D…
math.NT2020
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…