Title: On a two-dimensional analogue of Szemerédi's theorem in Abelian groups
Abstract: Let be a finite Abelian group and a set of cardinality at least , where is an absolute constant. We prove that contains a triple with . This is a two-dimensional generalization of Szemeredi's theorem on arithmetic progressions.
Publication Year: 2009
Publication Date: 2009-10-22
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 9
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