New sum product type estimates

Sergeĭ Konyagin, Misha Rudnev

Type: Preprint

Publication Date: 2012-07-29

Citations: 7

Locations

arXiv (Cornell University) - View

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+	Bilinear Forms with Kloosterman and Gauss Sums	2016	Igor E. Shparlinski
+	Some new inequalities in additive combinatorics	2012	Ilya D. Shkredov
+ PDF Chat	On sums of Szemerédi-Trotter sets	2015	Ilya D. Shkredov
+ PDF Chat	A Note on Solymosi’s Sum-Product Estimate for Ordered Fields	2015	Boqing Xue
+	A sum-product theorem in function fields	2012	Thomas F. Bloom Timothy G. F. Jones
+	Combinatorial Applications of the Subspace Theorem	2013	Ryan Schwartz József Solymosi
+	Improved bounds on the set A(A+1)	2012	Timothy G. F. Jones Oliver Roche‐Newton

Works Cited by This (15)

Action	Title	Year	Authors
+	On a question of Cochrane and Pinner concerning multiplicative subgroups	2010	Tomasz Schoen Ilya D. Shkredov
+ PDF Chat	On sums and products of integers	1983	Péter L. Erdős Endre Szemerédi
+ PDF Chat	On the number of sums and products	1997	György Elekes
+ PDF Chat	On additive shifts of multiplicative subgroups	2012	Il'ya Vladimirovich Vyugin Ilya D. Shkredov
+ PDF Chat	Convexity and a sum-product type estimate	2012	Liangpan Li Oliver Roche‐Newton
+	Convexity and Sumsets	2000	György Elekes Melvyn B. Nathanson Imre Z. Ruzsa
+	Bounding multiplicative energy by the sumset	2009	József Solymosi
+ PDF Chat	Combinatorial Complexity of Convex Sequences	2005	Alex Iosevich Sergeĭ Konyagin M. Rudnev V. Ten
+ PDF Chat	On Additive Doubling and Energy	2010	Nets Hawk Katz Paul Koester
+	ADDITIVE PROPERTIES OF MULTIPLICATIVE SUBGROUPS OF Fp	2011	Tomasz Schoen Ilya D. Shkredov