Freiman's theorem in finite fields via extremal set theory

Ben Green, Terence Tao

Type: Preprint

Publication Date: 2007-01-01

Citations: 4

DOI: https://doi.org/10.48550/arxiv.math/0703668

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View
arXiv (Cornell University) - View
DataCite API - View
arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Freiman's Theorem in Finite Fields via Extremal Set Theory	2009	Ben Green Terence Tao
+	A note on the Freiman and Balog-Szemeredi-Gowers theorems in finite fields	2007	Ben Green Terence Tao
+ PDF	A counterexample to a strong variant of the Polynomial Freiman-Ruzsa conjecture in Euclidean space	2017	Shachar Lovett Oded Regev
+ PDF	A NOTE ON THE FREIMAN AND BALOG–SZEMERÉDI–GOWERS THEOREMS IN FINITE FIELDS	2009	Benjamin Green Terence Tao
+	Finding a low-dimensional piece of a set of integers	2015	Freddie Manners
+ PDF Chat	Finding a Low-dimensional Piece of a Set of Integers	2016	Freddie Manners
+ PDF Chat	A polynomial Freiman-Ruzsa inverse theorem for function fields	2025	Thomas F. Bloom
+ PDF	None	2015	Shachar Lovett
+	Extremal Results in and out of Additive Combinatorics	2020	Andrei Cosmin Pohoata
+	A counterexample to a strong variant of the Polynomial Freiman-Ruzsa conjecture in Euclidean space	2016	Shachar Lovett Oded Regev
+	A counterexample to a strong variant of the Polynomial Freiman-Ruzsa conjecture in Euclidean space	2016	Shachar Lovett Oded Regev
+	Extremal set theory	1994	Peter J‎. Cameron
+	Sets with small sumset and rectification	2004	Ben Green Imre Z. Ruzsa
+	Extremal Combinatorics	2011	Stasys Jukna
+	The polynomial Freiman-Ruzsa conjecture	2014	Ben J. Green
+	SETS WITH SMALL SUMSET AND RECTIFICATION	2006	Ben Green Imre Z. Ruzsa
+	An exposition of Sanders quasi-polynomial Freiman-Ruzsa theorem.	2012	Shachar Lovett
+	Additive Combinatorics	2006	Terence Tao Van H. Vu
+ PDF Chat	On Freiman's Theorem in a function field setting	2024	M. R. Wessel
+	Locality in sumsets	2023	Peter van Hintum Peter Keevash

Works That Cite This (3)

Action	Title	Year	Authors
+ PDF Chat	Freiman–Ruzsa-type theory for small doubling constant	2008	Hansheng Diao
+ PDF Chat	On Additive Doubling and Energy	2010	Nets Hawk Katz Paul Koester
+ PDF	A NOTE ON THE FREIMAN AND BALOG–SZEMERÉDI–GOWERS THEOREMS IN FINITE FIELDS	2009	Benjamin Green Terence Tao

Works Cited by This (4)

Action	Title	Year	Authors
+	Structure Theory of Set Addition	2018	Jean-Marc Deshouillérs Bernard Landreau A. A. Yudin
+	On Small Sumsets in (Z/2Z) n	2004	Jean-Marc Deshouillérs Fran�ois Hennecart Alain Plagne
+	Generalized arithmetical progressions and sumsets	1994	Imre Z. Ruzsa
+ PDF Chat	Freiman's theorem in an arbitrary abelian group	2007	Ben Green Imre Z. Ruzsa