Geodesic
Asymptotic Formulas for Some Arithmetic Functions
Canadian mathematical bulletin, Tome 1 (1958) no. 3, pp. 149-153

Voir la notice de l'article provenant de la source Cambridge University Press

Let f(x) be an increasing function. Recently there have been several papers which proved that under fairly general conditions on f(x) the density of integers n for which (n, f(n)) = 1 is 6/π2 and that (d(n) denotes the number of divisors of n) In particular both of these results hold if f(x) = xα, 0 < α < 1 and the first holds if f(x) = [α x], α irrational. 
Erdős, P. Asymptotic Formulas for Some Arithmetic Functions. Canadian mathematical bulletin, Tome 1 (1958) no. 3, pp. 149-153. doi: 10.4153/CMB-1958-014-1
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[1)] 1) See Watson, G.L., Canadian Journal of Math. 5 (1953), 451-455 CrossRefGoogle Scholar, Estermann, T., ibid 5 (1953), 456-459 Google Scholar and Lambek, J. and Moser, Lr., ibid 7 (1955), 155-158.Google Scholar See also a forthcoming paper by P. Erdős and G.G. Lorentz in Acta Arithmetica.

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