The abundancy index of divisors of odd perfect numbers
College
College of Science
Department/Unit
Mathematics and Statistics Department
Document Type
Article
Source Title
Journal of Integer Sequences
Volume
15
Issue
4
Publication Date
9-3-2012
Abstract
If N = qkn2 is an odd perfect number, where q is the Euler prime, then we show that n < q is sufficient for Sorli's conjecture that k = νq(N) = 1 to hold. We also prove and that qk < 2/3n2, and that I(qk) < I(n), where I(x) is the abundancy index of x.
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Recommended Citation
Dris, J. B. (2012). The abundancy index of divisors of odd perfect numbers. Journal of Integer Sequences, 15 (4) Retrieved from https://animorepository.dlsu.edu.ph/faculty_research/20
Disciplines
Mathematics
Keywords
Perfect numbers; Numbers, Prime
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