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A note on Chowla's function


Authors: M. Lal and A. Forbes
Journal: Math. Comp. 25 (1971), 923-925
MSC: Primary 10A20
DOI: https://doi.org/10.1090/S0025-5718-1971-0297685-X
MathSciNet review: 0297685
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Abstract | References | Similar Articles | Additional Information

Abstract: Iterates of a number-theoretic function, defined by $ L(n) = \sigma (n) - (1 + n)$, are investigated empirically, for $ n \leqq {10^5}$. This search has yielded 9 reduced amicable pairs.


References [Enhancements On Off] (What's this?)

  • [1] A. R. Nasir, ``On a certain arithmetic function,'' Bull. Calcutta Math. Soc., v. 38, 1946, p. 140. MR 8, 445. MR 0019666 (8:445f)
  • [2] D. H. Lehmer (Reviewer), Math. Rev., v. 8, 1948, p. 445.
  • [3] H. Cohen, ``On amicable and sociable numbers,'' Math. Comp., v. 24, 1970, pp. 423-429. MR 0271004 (42:5887)

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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1971-0297685-X
Keywords: Reduced amicable numbers, number-theoretic function
Article copyright: © Copyright 1971 American Mathematical Society

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