Odd multiperfect numbers of abundancy 4

dc.contributor.author	Broughan, Kevin A.
dc.contributor.author	Zhou, Qizhi
dc.date.accessioned	2009-01-16T03:11:19Z
dc.date.available	2009-01-16T03:11:19Z
dc.date.issued	2007
dc.description.abstract	Euler's structure theorem for any odd perfect number is extended to odd multiperfect numbers of abundancy power of 2. In addition, conditions are found for classes of odd numbers not to be 4-perfect: some types of cube, some numbers divisible by 9 as the maximum power of 3, and numbers where 2 is the maximum even prime power.	en
dc.format.mimetype	application/pdf
dc.identifier.citation	Broughan, K A & Zhou, Q.(2007). Odd multiperfect numbers of abundancy 4. Journal of Number Theory, 128(6), 1566-1575.	en
dc.identifier.doi	10.1016/j.jnt.2007.02.001	en
dc.identifier.uri	https://hdl.handle.net/10289/1796
dc.language.iso	en
dc.publisher	Elsevier	en
dc.relation.isPartOf	Journal of Number Theory	en_NZ
dc.relation.uri	http://www.sciencedirect.com/science/journal/0022314X	en
dc.rights	This is an author’s version of an article published in the journal: Journal of Number Theory. ©2007 Elsevier B.V.	en
dc.subject	mathematics	en
dc.subject	odd multiply perfect number	en
dc.subject	abundancy	en
dc.subject	euler factor	en
dc.title	Odd multiperfect numbers of abundancy 4	en
dc.type	Journal Article	en
pubs.begin-page	1566	en_NZ
pubs.elements-id	32989
pubs.end-page	1575	en_NZ
pubs.issue	6	en_NZ
pubs.volume	128	en_NZ