Multiply perfect numbers of low abundancy

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Title

Multiply perfect numbers of low abundancy

Content partner

University of Waikato

Collection

ResearchCommons@Waikato

Description

The purpose of this thesis is to investigate the properties of multiperfect numbers with low abundancy, and to include the structure, bounds, and density of certain multiperfect numbers. As a significant result of this thesis, an exploration of the structure of an odd 4-perfect number has been made. An extension of Euler’s theorem on the structure of any odd perfect number to odd 2k-perfect numbers has also been obtained. In order to study multiperfect numbers, it is necessary to discuss the ...

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Format

Research Paper

Research format

Thesis

Thesis level

Doctoral

Date created

2010

Creator

Zhou, Qizhi

URL

https://hdl.handle.net/10289/4138

Related subjects

multiperfect numbers

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