| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9521149 | Indagationes Mathematicae | 2005 | 15 Pages |
Abstract
We solve a problem of Filaseta by proving, that if N is sufficiently large, A â [N], |A| > N/9 and A + Adoes not contain any squarefree integer then all elements of A are congruent to 0 (mod 4) or 2 (mod 4). In order to show the main result we characterize the structure of all dense sets, whose elements sum to no squarefree number.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Tomasz Schoen,