A note on Chowla’s function

Lal, M.; Forbes, A.

doi:10.1090/S0025-5718-1971-0297685-X

Mathematics of Computation

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A note on Chowla’s function
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by M. Lal and A. Forbes PDF

Math. Comp. 25 (1971), 923-925 Request permission

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

Abdur Rahman Nasir, On a certain arithmetic function, Bull. Calcutta Math. Soc. 38 (1946), 140. MR 19666

Math. Rev.

Henri Cohen, On amicable and sociable numbers, Math. Comp. 24 (1970), 423–429. MR 271004, DOI 10.1090/S0025-5718-1970-0271004-6