On a Generalization of Szemeredi's Theorem
| dc.creator | Shkredov, I. D. | |
| dc.date | 2005-03-28 | |
| dc.date.accessioned | 2026-07-07T05:18:33Z | |
| dc.date.available | 2026-07-07T05:18:33Z | |
| dc.description | Let A \subseteq [1,..,N]^2 be a set of cardinality at least N^2/(log log N)^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>0. This theorem is a two-dimensional generalization of Szemeredi's theorem on arithmetic progression. | |
| dc.description | 51 pages | |
| dc.identifier | https://arxiv.org/abs/math/0503639 | |
| dc.identifier | http://arxiv.org/abs/math/0503639 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74700 | |
| dc.subject | Number Theory | |
| dc.subject | Dynamical Systems | |
| dc.title | On a Generalization of Szemeredi's Theorem | |
| dc.type | text |