eng
episciences.org
Communications in Mathematics
1804-1388
2336-1298
2022-12-26
Volume 30 (2022), Issue 1
10.46298/cm.10527
10527
journal article
On square-free numbers generated from given sets of primes
G. Roman
Let $x$ be a positive real number, and $\mathcal{P} \subset [2,\lambda(x)]$
be a set of primes, where $\lambda(x) \in o(x^{1/2})$ is a monotone increasing
function. We examine $Q_{\mathcal{P}}(x)$ for different sets $\mathcal{P}$,
where $Q_{\mathcal{P}}(x)$ is the element count of the set containing those
positive square-free integers, which are smaller than-, or equal to $x$, and
which are only divisible by the elements of $\mathcal{P}$.
https://cm.episciences.org/10527/pdf
Mathematics - Number Theory