Growth Estimates in Positive Characteristic via Collisions

Esen Aksoy Yazici, Thomas Brendan Murphy, Misha Rudnev, Ilya D. Shkredov

Type: Preprint

Publication Date: 2015-12-21

Citations: 13

Locations

arXiv (Cornell University) - View

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Works That Cite This (12)

Action	Title	Year	Authors
+	Difference sets are not multiplicatively closed	2016	Ilya D. Shkredov
+	Sum-Product Type Estimates for Subsets of Finite Valuation Rings	2017	Esen Aksoy Yazici
+	Three-variable expanding polynomials and higher-dimensional distinct distances	2016	Thang Pham Lê Anh Vinh Frank de Zeeuw
+ PDF Chat	An improved point-line incidence bound over arbitrary fields	2017	Sophie Stevens Frank de Zeeuw
+ PDF Chat	Difference sets are not multiplicatively closed	2016	Ilya D. Shkredov
+	Expanders and applications over the prime fields	2017	Doowon Koh Hossein Nassajian Mojarrad Thang Pham Claudiu Valculescu
+ PDF Chat	ON SOME MULTIPLE CHARACTER SUMS	2017	Ilya D. Shkredov Igor E. Shparlinski
+	Conditional expanding bounds for two-variable functions over arbitrary fields	2017	Hossein Nassajian Mojarrad Thang Pham
+	Product of sumsets over arbitrary finite fields.	2018	Mozhgan Mirzaei Thang Pham
+	Products of Differences in Prime Order Finite Fields	2016	Giorgis Petridis

Works Cited by This (24)

Action	Title	Year	Authors
+	On additive shifts of multiplicative almost-subgroups in finite fields	2015	Dmitrii Zhelezov
+ PDF Chat	On the number of sums and products	1997	György Elekes
+	On a question of A. Balog	2015	Ilya D. Shkredov
+	Group actions and geometric combinatorics in ${\mathbb F}_q^d$	2013	Michael A. Bennett Derrick Hart Alex Iosevich Jonathan Pakianathan M. Rudnev
+	Differences of subgroups in subgroups	2015	Ilya D. Shkredov
+ 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
+	New sum-product type estimates over finite fields	2014	Oliver Roche‐Newton Misha Rudnev Ilya D. Shkredov