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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

What drives an aliquot sequence?
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by Richard K. Guy and J. L. Selfridge PDF
Math. Comp. 29 (1975), 101-107 Request permission

Corrigendum: Math. Comp. 34 (1980), 319-321.

Abstract:

The concept of the "driver" of an aliquot sequence is discussed. It is shown that no driver can be expected to persist indefinitely. A definition of driver is given which leads to just 5 drivers apart from the even perfect numbers.
References
    E. CATALAN, Bull. Soc. Math. France, v. 16, 1887/88, pp. 128-129.
  • Henri Cohen, On amicable and sociable numbers, Math. Comp. 24 (1970), 423–429. MR 271004, DOI 10.1090/S0025-5718-1970-0271004-6
    • L. E. DICKSON, "Theorems and tables on the sums of divisors of a number," Quart. J. Math., v. 44, 1913, pp. 264-296.
  • Richard K. Guy and J. L. Selfridge, Interim report on aliquot series, Proceedings of the Manitoba Conference on Numerical Mathematics (Univ. Manitoba, Winnipeg, Man., 1971) Dept. Comput. Sci., Univ. Manitoba, Winnipeg, Man., 1971, pp. 557–580. MR 0335412
  • Richard K. Guy, D. H. Lehmer, J. L. Selfridge, and M. C. Wunderlich, Second report on aliquot sequences, Proceedings of the Third Manitoba Conference on Numerical Mathematics (Winnipeg, Man., 1973) Utilitas Math., Winnipeg, Man., 1974, pp. 357–368. MR 0351967
    • RICHARD K. GUY & J. L. SELFRIDGE, Combined Report on Aliquot Sequences, University of Calgary Math. Research Report No. 225, May 1974. G. AARON PAXSON, "Aliquot sequences (preliminary report)," Amer. Math. Monthly, v. 63, 1956, p. 614; Math. Comp., v. 26, 1972, pp. 807-809. P. POULET, L’Intermédiaire des Math., v. 25, 1918, pp. 100-101.
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Math. Comp. 29 (1975), 101-107
  • MSC: Primary 10A20; Secondary 10A40
  • DOI: https://doi.org/10.1090/S0025-5718-1975-0384669-X
  • MathSciNet review: 0384669