Jonatan Gomez

collaborators

2 papers

math.NT2024

Defining Upper and Lower Bounding Functions of $l i (x)$ with $O (\frac{x}{lo g ( x )})$ Error Using Truncated Asymptotic Series

Jonatan Gomez

We introduce approximation functions of $l i (x)$ for all $x \geq e$ : (1) $\displaystyle li_{\underlineω,α}(x) = \frac{x}{\log(x)}\left( α\frac{\underline{m}!}{\log^{\underline{m}}(x)}…

math.NT2024

On the Stieltjes Approximation Error to Logarithmic Integral

Jonatan Gomez

We study the approximation error $ε (x) = li_{*} (x) - li (x)$ arising from the classical Stieltjes asymptotic expansion for the logarithmic integr…

Defining Upper and Lower Bounding Functions of li(x) with O(log(x)x​​) Error Using Truncated Asymptotic Series

On the Stieltjes Approximation Error to Logarithmic Integral

Defining Upper and Lower Bounding Functions of $l i (x)$ with $O (\frac{x}{lo g ( x )})$ Error Using Truncated Asymptotic Series