Sets with few distinct distances do not have heavy lines

Orit E. Raz, Oliver Roche‐Newton, Micha Sharir

Type: Preprint

Publication Date: 2014-10-07

Citations: 5

Locations

arXiv (Cornell University) - View

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Works That Cite This (5)

Action	Title	Year	Authors
+	New results on sum-products in R	2016	Sergeĭ Konyagin Ilya D. Shkredov
+	On sum sets of sets, having small product set	2015	Sergeĭ Konyagin Ilya D. Shkredov
+	An introduction to higher energies and sumsets	2015	Ilya D. Shkredov
+ PDF Chat	Number Theory and Applications, 2	2017	Ilya D. Shkredov
+	Bisector energy and few distinct distances	2014	Ben Lund Adam Sheffer Frank de Zeeuw

Works Cited by This (14)

Action	Title	Year	Authors
+	On lattices, distinct distances, and the Elekes-Sharir framework	2013	Javier Cilleruelo Micha Sharir Adam Sheffer
+	On a theorem of Schoen and Shkredov on sumsets of convex sets	2011	Liangpan Li
+ PDF Chat	On some problems of elementary and combinatorial geometry	1975	P. Erdős
+ PDF Chat	Convexity and a sum-product type estimate	2012	Liangpan Li Oliver Roche‐Newton
+	On the Erdos distinct distance problem in the plane	2010	Larry Guth Nets Hawk Katz
+	Convexity and Sumsets	2000	György Elekes Melvyn B. Nathanson Imre Z. Ruzsa
+ PDF Chat	On the Erdős distinct distances problem in the plane	2014	Larry Guth Nets Hawk Katz
+ PDF Chat	The distribution of integers with a divisor in a given interval	2008	Kevin Ford
+	On Sets of Distances of <i>n</i> Points	1970	P. Erdős
+	On the Minkowski distances and products of sum sets	2012	Oliver Roche‐Newton Misha Rudnev