The Error Term for the Squarefree Integers
Authors:
- L. MoserLML. Moser
- R.A. MacLeodRMR.A. MacLeod
- 1 August 1966
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 9 (3) , 303-306
Abstract
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.This publication has 2 references indexed in Scilit:
- The Schnirelmann density of the squarefree integersProceedings of the American Mathematical Society, 1964
- On a Problem in the Additive Theory of NumbersAnnals of Mathematics, 1931