Addition of Sets of Integers of Positive Density

Yuri Bilu

Type: Article

Publication Date: 1997-06-01

Citations: 27

DOI: https://doi.org/10.1006/jnth.1997.2123

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Locations

Journal of Number Theory - View

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Works That Cite This (27)

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+	The Set of Differences of a Given Set	1999	Andrew Granville Friedrich Roesler
+ PDF Chat	Sum-sets of small upper density	2005	Guillaume Bordes
+	Small-sum pairs for upper Banach density in countable abelian groups	2013	John T. Griesmer
+ PDF Chat	Rectification Principles in Additive Number Theory	1998	Yuri Bilu Vsevolod F. Lev Imre Z. Ruzsa
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+ PDF Chat	COMPRESSIONS, CONVEX GEOMETRY AND THE FREIMAN–BILU THEOREM	2006	B. Green Terence Tao
+ PDF Chat	Kneser’s theorem for upper Banach density	2006	Prerna Bihani Renling Jin
+ PDF Chat	On sums of distinct representatives	1998	Hui-Qin Cao Zhi‐Wei Sun
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Works Cited by This (18)

Action	Title	Year	Authors
+	Old and new problems and results in combinatorial number theory	1980	P. Erdős Ronald Graham
+	An Introduction to the Geometry of Numbers	1959	J. W. S. Cassels
+	Uniform distribution of sequences	1974	L. Kuipers Harald Niederreiter
+	Cyclic Spaces for Grassmann Derivatives and Additive Theory	1994	J. A. Dias Da Silva Yahya Ould Hamidoune
+	Generalized arithmetical progressions and sumsets	1994	Imre Z. Ruzsa
+	On a product of finite subsets in a torsion-free group	1990	L. Brailovsky Gregory A. Freiman
+	Absch�tzung der asymptotischen Dichte von Summenmengen	1953	Martin Kneser
+ PDF Chat	Inverse theorems for subset sums	1995	Melvyn B. Nathanson
+ PDF Chat	Adding Distinct Congruence Classes Modulo a Prime	1995	Noga Alon Melvyn B. Nathanson Imre Z. Ruzsa
+	The Polynomial Method and Restricted Sums of Congruence Classes	1996	Noga Alon Melvyn B. Nathanson Imre Z. Ruzsa