On the number of prime factors of values of the sum-of-proper-divisors function

DOI10.1016/j.jnt.2014.11.014zbMath1311.11094arXiv1405.3587OpenAlexW2963354639MaRDI QIDQ2253878

Lee Troupe

Publication date: 13 February 2015

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.3587

zbMATH Keywords

normal ordernumber of prime divisorssum of proper divisors

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Rate of growth of arithmetic functions (11N56)

Related Items (5)

DIVISOR‐SUM FIBERS ⋮ Sums of proper divisors follow the Erdős–Kac law ⋮ Computers as a novel mathematical reality. III: Mersenne numbers and sums of divisors ⋮ Divisor sums representable as the sum of two squares ⋮ The range of the sum-of-proper-divisors function

Cites Work

• On the normal number of prime factors of \(\phi(n)\)
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