A New Proof of Szemer�di's Theorem for Arithmetic Progressions of Length Four

W. T. Gowers

Type: Article

Publication Date: 1998-07-01

Citations: 454

DOI: https://doi.org/10.1007/s000390050065

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Locations

Geometric and Functional Analysis - View
Geometric and Functional Analysis - View

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Works Cited by This (10)

Action	Title	Year	Authors
+	Integer sets containing no arithmetic progressions	1990	Endre Szemerédi
+	Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions	1977	Harry Furstenberg
+	Irregularities of sequences relative to arithmetic progressions	1967	K. F. Roth
+	Lower bounds of tower type for Szemerédi's uniformity lemma	1997	W. T. Gowers
+	Generalized arithmetical progressions and sumsets	1994	Imre Z. Ruzsa
+ PDF	Primitive recursive bounds for van der Waerden numbers	1988	Saharon Shelah
+	Integer Sets Containing No Arithmetic Progressions	1987	D. R. Heath‐Brown
+	On Certain Sets of Integers	1953	K. F. Roth
+	On sets of integers containing no four elements in arithmetic progression	1969	Endre Szemerédi
+	Quasi-random subsets of Zn	1992	Fan Chung Ronald Graham