Squarefree numbers in sumsets |
| |
Authors: | Tomasz Schoen |
| |
Institution: | Department of Discrete Mathematics, Adam Mickiewicz University, ul. Umultowska 87, 61-614 Poznań, Poland |
| |
Abstract: | We solve a problem of Filaseta by proving, that if N is sufficiently large, A ⊆ 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. |
| |
Keywords: | 111350 111375 11P99 |
本文献已被 ScienceDirect 等数据库收录! |
|