On the greatest common divisor of a number and its sum of divisors

DOI10.1307/MMJ/1301586311zbMath1286.11152OpenAlexW2004338620MaRDI QIDQ538018

Paul Pollack

Publication date: 23 May 2011

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1301586311

zbMATH Keywords

greatest common divisorsum of divisorsapplications of sieve methods

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Applications of sieve methods (11N36)

Related Items (8)

DIVISOR‐SUM FIBERS ⋮ A conjecture of De Koninck regarding particular square values of the sum of divisors function ⋮ The average least quadratic nonresidue modulo \(m\) and other variations on a theme of Erdős ⋮ Computers as a novel mathematical reality. III: Mersenne numbers and sums of divisors ⋮ An arithmetic function arising from Carmichael's conjecture ⋮ On perfect and near-perfect numbers ⋮ Some problems of Erdős on the sum-of-divisors function ⋮ On integers $n$ for which $X^n-1$ has a divisor of every degree

Cites Work

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• On the number of prime factors of \(\varphi{} (\varphi{}(n))\)
• LOCAL DENSITIES OVER INTEGERS FREE OF LARGE PRIME FACTORS
• Über die Hintereinanderschaltung multiplikativer Funktionen.
• On the distribution of amicable numbers.

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