Geodesic
The Error Term for the Squarefree Integers
Canadian mathematical bulletin, Tome 9 (1966) no. 3, pp. 303-306

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

Let Q(x) denote the number of squarefree integers ≤ x. Recently K. Rogers [ l ] has shown that Q(x) ≥ 53x / 88 for all x, with equality only at x = 176. Define R(x) to be Q(x) - 6/п2 X. (We observe that and ) Our objective will be to examine R(x). In particular, we show that for all x and observe that for x ≥ 8. 
Moser, L.; MacLeod, R.A. The Error Term for the Squarefree Integers. Canadian mathematical bulletin, Tome 9 (1966) no. 3, pp. 303-306. doi: 10.4153/CMB-1966-039-4
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[1] 1. Rogers, K., The Schnirelmann density of the squarefree integers, Proc. Amer. Math. Soc. 15(1964), 515-516. Google Scholar

[2] 2. Landau, E., Vorlesungen Uber Zahlentheorie, II, Chelsea (1947). Google Scholar

[3] 3. Evelyn, C. J. A. and Linfoot, E.H., On a problem in the additive theory of numbers (Fourth paper). Ann. of Math. 32(1931) 261-270. Google Scholar

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