Factorization in generalized arithmetic progressions and application to the Erd?s-Szemer�di sum-product problems

Mei-Chu Chang

Type: Article

Publication Date: 2003-08-01

Citations: 57

DOI: https://doi.org/10.1007/s00039-003-0428-5

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Geometric and Functional Analysis - View

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Works Cited by This (8)

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+ PDF Chat	Arithmetic progressions in sumsets	1991	Imre Z. Ruzsa
+ PDF Chat	Polynomial extensions of van der Waerden’s and Szemerédi’s theorems	1996	Vitaly Bergelson A. Leibman
+	The Number of Homothetic Subsets	2013	Miklós Laczkovich Imre Z. Ruzsa
+ PDF Chat	On the number of sums and products	1997	György Elekes
+	Additive number theory: inverse problems and the geometry of sumsets	1997	Melvyn B. Nathanson
+ PDF Chat	An Improved Bound on the Minkowski Dimension of Besicovitch Sets in ℝ 3	2000	Nets Hawk Katz Izabella Łaba Terence Tao
+	Some connections between Falconer's distance set conjecture, and sets of Furstenburg type	2001	Nets Hawk Katz Terence Tao
+	A New Proof of Szemer�di's Theorem for Arithmetic Progressions of Length Four	1998	W. T. Gowers