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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Multiamicable numbers
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by Graeme L. Cohen, Stephen F. Gretton and Peter Hagis PDF
Math. Comp. 64 (1995), 1743-1753 Request permission

Abstract:

Multiamicable numbers are a natural generalization of amicable numbers: two numbers form a multiamicable pair if the sum of the proper divisors of each is a multiple of the other. Many other generalizations have been considered in the past. This paper reviews those earlier generalizations and gives examples and properties of multiamicable pairs. It includes a proof that the set of all multiamicable numbers has density 0.
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Math. Comp. 64 (1995), 1743-1753
  • MSC: Primary 11A25
  • DOI: https://doi.org/10.1090/S0025-5718-1995-1308449-6
  • MathSciNet review: 1308449