Asymptotic formula for sum-free sets in abelian groups
| dc.creator | Balasubramanian, R. | |
| dc.creator | Prakash, Gyan | |
| dc.date | 2005-07-13 | |
| dc.date.accessioned | 2026-07-07T05:21:39Z | |
| dc.date.available | 2026-07-07T05:21:39Z | |
| dc.description | Let A be a subset of a finite abelian group G. We say that A is sum-free if there is no solution of the equation x + y = z, with x, y, z belonging to the set A. Let SF(G) denotes the set of all sum-free subets of $G$ and $σ(G)$ denotes the number $ n^{-1}(\log_2 |SF(G)|) $. In this article we shall improve the error term in the asymptotic formula of $σ(G)$ which was obtained recently by Ben Green and Ruzsa. The methods used are a slight refinement of methods developed by Ben Green and Ruzsa. | |
| dc.description | 9 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0507259 | |
| dc.identifier | http://arxiv.org/abs/math/0507259 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75766 | |
| dc.subject | Number Theory | |
| dc.subject | 11P70 | |
| dc.title | Asymptotic formula for sum-free sets in abelian groups | |
| dc.type | text |