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Perfect numbers and other numbers defined by the sum of their divisors

Perfect, abundant, and deficient numbers are defined in terms of the sum of the divisors function. The history and the discovery of perfect numbers is discussed, and the question of the existence of an odd perfect number is considered.

There is a discussion of amicable pairs and multiply perfect numbers. Other numbers which are defined by the sum of their divisors are also introduced. / M.S.

Identiferoai:union.ndltd.org:VTETD/oai:vtechworks.lib.vt.edu:10919/118327
Date January 1975
CreatorsHawkes, Kenneth Eugene
ContributorsMathematics
PublisherVirginia Polytechnic Institute and State University
Source SetsVirginia Tech Theses and Dissertation
LanguageEnglish
Detected LanguageEnglish
TypeThesis, Text
Formatiii, 64 leaves, application/pdf, application/pdf
RightsIn Copyright, http://rightsstatements.org/vocab/InC/1.0/
RelationOCLC# 20833505

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