On a two-dimensional analog of Szemeredi's Theorem in Abelian groups
| dc.creator | Shkredov, I. D. | |
| dc.date | 2007-05-03 | |
| dc.date.accessioned | 2026-07-07T07:59:17Z | |
| dc.date.available | 2026-07-07T07:59:17Z | |
| dc.description | Let G be a finite Abelian group and A be a subset G\times G of cardinality at least |G|^2/(log log |G|)^c, where c>0 is an absolute constant. We prove that A contains a triple {(k,m), (k+d,m), (k,m+d)}, where d does not equal 0. This theorem is a two-dimensional generalization of Szemeredi's theorem on arithmetic progressions. | |
| dc.description | 40 pages | |
| dc.identifier | https://arxiv.org/abs/0705.0451 | |
| dc.identifier | http://arxiv.org/abs/0705.0451 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/128314 | |
| dc.subject | Number Theory | |
| dc.subject | Combinatorics | |
| dc.title | On a two-dimensional analog of Szemeredi's Theorem in Abelian groups | |
| dc.type | text |