Odd multiperfect numbers of abundancy 4

DOI10.1016/j.jnt.2007.02.001zbMath1137.11002OpenAlexW1975613450WikidataQ56226008 ScholiaQ56226008MaRDI QIDQ927709

Kevin A. Broughan, Qizhi Zhou

Publication date: 9 June 2008

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

Full work available at URL: https://hdl.handle.net/10289/1796

zbMATH Keywords

sums of divisorsabundancyodd multiply perfect number

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05) Multiplicative number theory (11N99)

Related Items (2)

Odd 4-perfect numbers exactly divisible by \(3^2\) ⋮ ODD MULTIPERFECT NUMBERS

Cites Work

• Unnamed Item
• On some properties of the Euler's factor of certain odd perfect numbers
• The non-existence of odd perfect numbers of a certain form
• On the non-existence of odd perfect numbers of form 𝑝^{𝛼}𝑞₁²𝑞₂²⋯𝑞_{𝑡-1}²𝑞_{𝑡}⁴

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