Residue races of the number of prime divisors function

JOURNAL OF NUMBER THEORY

卷:190

Article

Porritt, Sam¹ 

[1] UCL, Dept Math, 25 Gordon St, London, England

关键词: Mean values;    Multiplicative function;    Additive function;    Residue races;   

DOI  :  10.1016/j.jnt.2018.02.015

来源: Elsevier

【 摘 要 】

We investigate the distribution of the function w(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'. (C) 2018 The Author. Published by Elsevier Inc.

【 授权许可】

Free