The Error Term for the Squarefree Integers
Canadian mathematical bulletin, Tome 9 (1966) no. 3, pp. 303-306
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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
@article{10_4153_CMB_1966_039_4,
author = {Moser, L. and MacLeod, R.A.},
title = {The {Error} {Term} for the {Squarefree} {Integers}},
journal = {Canadian mathematical bulletin},
pages = {303--306},
year = {1966},
volume = {9},
number = {3},
doi = {10.4153/CMB-1966-039-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-039-4/}
}
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