Abstract
Let p be a prime. A set A of residues modulo p is said to be sum-free if there axe no solutions to a = a' + a" with a, a', a" is an element of A. We show that there axe 2(p/3+o(p)) such sets. We also count the number of distinct sets of the form B + B, where B is a set of residues modulo p. Once again, there are 2(p/3+o(p)) such sets.
| Translated title of the contribution | Counting sumsets and sum-free sets modulo a prime |
|---|---|
| Original language | English |
| Pages (from-to) | 285 - 293 |
| Journal | Studia Scientiarum Mathematicarum Hungarica |
| Volume | 41 (3) |
| Publication status | Published - 2004 |
Bibliographical note
Publisher: Akademiai KiadoOther identifier: IDS Number: 850HM