Residue races of the number of prime divisors function

Sam Porritt

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arXiv · 1806.01585

Residue races of the number of prime divisors function

Sam Porritt

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Abstract

We investigate the distribution of the function $\omega(n)$, the number of distinct prime divisors of $n$, in residue classes modulo $q$ for natural numbers $q$ greater than 2. In particular we ask `prime number races' style questions, as suggested by Coons and Dahmen in their paper `On the residue class distribution of the number of prime divisors of an integer'.

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Sam Porritt. 2018-06-05. Residue races of the number of prime divisors function. https://arxiv.org/abs/1806.01585

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