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On Integers n Relatively Prime To ƒ(n)
Published online by Cambridge University Press: 20 November 2018
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1. Introduction. If m and n are two integers chosen at random, the probability that they are relatively prime (2, p. 267) is 6π-2. This result may still hold when m and n are functionally related. Thus, Watson (3) recently proved that for α irrational, the positive integers n for which (n, [αn]) = 1, have density 6π-2. A different proof of a slightly more general result was given by Estermann (1).
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- Copyright © Canadian Mathematical Society 1955
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