A note on the Freiman and Balog-Szemeredi-Gowers theorems in finite fields

Ben Green, Terence Tao

Type: Preprint

Publication Date: 2007-01-01

Citations: 2

DOI: https://doi.org/10.48550/arxiv.math/0701585

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	A NOTE ON THE FREIMAN AND BALOG–SZEMERÉDI–GOWERS THEOREMS IN FINITE FIELDS	2009	Benjamin Green Terence Tao
+	Freiman's theorem in finite fields via extremal set theory	2007	Ben Green Terence Tao
+ PDF Chat	Freiman's Theorem in Finite Fields via Extremal Set Theory	2009	Ben Green Terence Tao
+ PDF Chat	Finding a Low-dimensional Piece of a Set of Integers	2016	Freddie Manners
+ PDF Chat	On Freiman's Theorem in a function field setting	2024	M. R. Wessel
+	Finding a low-dimensional piece of a set of integers	2015	Freddie Manners
+	The Freiman-Ruzsa Theorem in Finite Fields	2012	Chaim Even‐Zohar Shachar Lovett
+ PDF Chat	A polynomial Freiman-Ruzsa inverse theorem for function fields	2025	Thomas F. Bloom
+ PDF	A counterexample to a strong variant of the Polynomial Freiman-Ruzsa conjecture in Euclidean space	2017	Shachar Lovett Oded Regev
+ PDF Chat	Brunn-Minkowski type estimates for certain discrete sumsets	2024	Albert Lopez Bruch Yifan Jing Akshat Mudgal
+	The Freiman--Ruzsa Theorem in Finite Fields	2012	Chaim Even‐Zohar Shachar Lovett
+	The Freiman–Ruzsa theorem over finite fields	2014	Chaim Even‐Zohar Shachar Lovett
+ PDF	None	2015	Shachar Lovett
+	SETS WITH SMALL SUMSET AND RECTIFICATION	2006	Ben Green Imre Z. Ruzsa
+	The polynomial Freiman-Ruzsa conjecture	2014	Ben J. Green
+	Sets with small sumset and rectification	2004	Ben Green Imre Z. Ruzsa
+	Approximate groups and their applications: work of Bourgain, Gamburd, Helfgott and Sarnak	2009	Ben Green
+	A sum-product estimate in finite fields, and applications	2003	Jean Bourgain Nets Hawk Katz Terence Tao
+	An exposition of Sanders quasi-polynomial Freiman-Ruzsa theorem.	2012	Shachar Lovett
+	The Frobenius postage stamp problem, and beyond	2020	Andrew Granville George Shakan

Works That Cite This (2)

Action	Title	Year	Authors
+ PDF	О множествах с малым удвоением	2008	Илья Дмитриевич Шкредов Ilya D. Shkredov
+ PDF Chat	Freiman–Ruzsa-type theory for small doubling constant	2008	Hansheng Diao

Works Cited by This (4)

Action	Title	Year	Authors
+	A statistical theorem of set addition	1994	Antal Balog Endre Szemer�di
+	A New Proof of Szemer�di's Theorem for Arithmetic Progressions of Length Four	1998	W. T. Gowers
+ PDF Chat	A Note on Freĭman's Theorem in Vector Spaces	2007	Tom Sanders
+ PDF Chat	Boolean Functions with small Spectral Norm	2008	Ben Green Tom Sanders