Joseph Squillace

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20192024

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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…