10.46298/cm.10527
https://cm.episciences.org/10527
Roman, G.
G.
Roman
On square-free numbers generated from given sets of primes
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 $\mathcal{P}$.
episciences.org
Mathematics - Number Theory
arXiv.org - Non-exclusive license to distribute
2022-12-21
2022-12-26
2022-12-26
eng
journal article
arXiv:2212.09477
10.48550/arXiv.2212.09477
2336-1298
https://cm.episciences.org/10527/pdf
VoR
application/pdf
Communications in Mathematics
Volume 30 (2022), Issue 1
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