Powerfree sums of proper divisors

DOI10.4064/cm8616-10-2021zbMath1496.11124arXiv2106.14953OpenAlexW4205403751MaRDI QIDQ5074203

Paul Pollack, Akash Singha Roy

Publication date: 9 May 2022

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.14953

zbMATH Keywords

squarefree\(k\)-freepowerfreesum of proper divisorssum of aliquot divisors

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25) Other results on the distribution of values or the characterization of arithmetic functions (11N64)

Cites Work

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• Square-free values of the Carmichael function.
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• Values of the Euler function free of \(k\)th powers
• DIVISOR‐SUM FIBERS
• Roughly squarefree values of the Euler and Carmichael functions
• On the distribution of amicable numbers.
• The range of the sum-of-proper-divisors function
• A conjecture in elementary number theory

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