Communications in Mathematics |

Let $x$ be a positive real number, and $\mathcal{P} \subset [2,\lambda(x)]$ be a set of primes, where $\lambda(x) \in \Omega(x^\varepsilon)$ is a monotone increasing function with $\varepsilon \in (0,1)$. We examine $Q_{\mathcal{P}}(x)$, 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 $\mathcal{P}$.

Source: arXiv.org:2212.09477

Volume: Volume 30 (2022), Issue 1

Published on: December 26, 2022

Accepted on: December 21, 2022

Submitted on: December 21, 2022

Keywords: Mathematics - Number Theory

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