3 papers
math.NT2024
Defining Upper and Lower Bounding Functions of with Error Using Truncated Asymptotic Series
Jonatan Gomez
We introduce approximation functions of for all : (1) $\displaystyle li_{\underlineω,α}(x) = \frac{x}{\log(x)}\left( α\frac{\underline{m}!}{\log^{\underline{m}}(x)}…
math.NT2023
The Prime Number Theorem and Primorial Numbers
Jonatan Gomez
Counting the number of prime numbers up to a certain natural number and describing the asymptotic behavior of such a counting function has been studied by famous mathematicians lik…
math.NT2023
On Primorial Numbers
Jonatan Gomez
Prime numbers have attracted the attention of mathematiciansand enthusiasts for millenniums due to their simple definition and remarkable properties. In this paper, we study primor…