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Some Remarks on a Paper of McCarthy

Published online by Cambridge University Press:  20 November 2018

P. Erdös
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As usual we denote the number of integers not exceeding n and relatively prime to n by Euler's ϕ function ϕ(n). Lehmer calls the ϕ(n) integers

the totatives of n.

Denote by ϕ(k,l,n) the number of a's satisfying

If nl ≡ 0 (mod k) or n(l + 1) ≡ 0 (mod k) then, since n > k, (n - l/k, n) > 1 and (n(l + 1)/k, n)>1 respectively. Thus ϕ(k, l, n) is the number of totatives of n satisfying

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 1 , Issue 2 , May 1958 , pp. 71 - 75
Copyright
Copyright © Canadian Mathematical Society 1958

References

1. Amer. Math. Monthly, 64 (1957), 585-586.

2. Canad. J. of Math. 7(1955), 347-357.