Joseph Squillace

activity

20192024

collaborators

3 papers

math.NT2024

A Generalization of the Erdős-Kac Theorem

Matthew Levy, Joseph Squillace

Given a natural number $n$ , let $ω (n)$ denote the number of distinct prime factors of $n$ , let $Z$ denote a standard normal variable, and let $P_{n}$ denote the uniform…

math.NT2020

A Generalization of the Erdős-Kac Theorem

Joseph Squillace

Given $n \in N$ , let $ω (n)$ denote the number of distinct prime factors of $n$ , let $Z$ denote a standard normal variable, and let $P_{n}$ denote the uniform dist…

math.PR2019

On the Dependence of the Component Counting Process of a Discrete Uniform Random Variable

Joseph Squillace

We are concerned with the general problem of proving the existence of joint distributions of two discrete random variables $M$ and $N$ subject to infinitely many constraints of the…