2 citations · 3 across the 11 of their papers we have counts for
Showing 2019Show all
3 papers · 1 filter
math.GM2019★ 1 cited
An Exact Formula for the Prime Counting Function
Jose Risomar Sousa
This paper discusses a few main topics in Number Theory, such as the Möbius function and its generalization, leading up to the derivation of neat power series for the prime countin…
math.NT2019
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 dif…
math.NT2019
Generalized Harmonic Progression Part II
Jose Risomar Sousa
In a previous paper, we saw how to create formulae for the sum of the terms of a harmonic progression of order , , with integer parameters, and . In thi…