Expanding polynomials over finite fields of large characteristic, and a regularity lemma for definable sets

Terence Tao

Type: Preprint

Publication Date: 2012-01-01

Citations: 20

DOI: https://doi.org/10.48550/arxiv.1211.2894

Similar Works

Action	Title	Year	Authors
+	Expanding polynomials over finite fields of large characteristic, and a regularity lemma for definable sets	2015	Terence Tao
+	Denseness of polynomials	2008	Zhang Ping
+ PDF	Graphons arising from graphs definable over finite fields	2022	Mirna Džamonja Ivan Tomašić
+	Graphons arising from graphs definable over finite fields	2017	Mirna Džamonja Ivan Tomašić
+	Dense approximation for polynomial algebras	1975	João B. Prolla
+	Superstructures of the class of polynomials in Pk	1988	Д Г Мещанинов
+	A Certain Polynomial Expansion	1931	Flora Streetman L. R. Ford
+	A Certain Polynomial Expansion	1931	Flora Streetman L. R. Ford
+	Irreducible Polynomials	2008
+	Polynomial patterns in subsets of large finite fields of low characteristic	2023	Ethan Ackelsberg Vitaly Bergelson
+ PDF	Polynomial growth and subgroups of $\mathrm{Out}(F_n)$	2022	Yassine Guerch
+ PDF Chat	Expansion properties of polynomials over finite fields	2024	Nuno Arala Sam Chow
+	On the Ko of certain polynomial extensions	1973	Claudio Pedrini
+	Combinatorial Nullstellensatz Approach to Polynomial Expanding	2013	Fedor Petrov
+	Heights of Polynomials	2012	Jonas Jankauskas
+	Polynomial Congruences and Density	2007	Gerry Myerson
+	Expansion of a Polynomial	2007
+	Expansion of a Polynomial	2007
+ PDF	Algebras of polynomial growth	1990	Andrzej Skowroński
+	Large factors of small polynomials	1994	David W. Boyd

Action	Title	Year	Authors
+	Mixing for progressions in non-abelian groups	2012	Terence Tao
+	Conditional expanding bounds for two-variable functions over finite valuation rings	2015	Le Quang Ham Thang Pham Lê Anh Vinh
+	Incidence Bounds for Block Designs	2014	Ben Lund Shubhangi Saraf
+	Indiscernible arrays and rational functions with algebraic constraint	2015	Elad Levi
+	Combinatorial Nullstellensatz Approach to Polynomial Expanding	2013	Fedor Petrov
+	On Pseudo-Finite Dimensions	2013	Ehud Hrushovski
+	Strongly minimal pseudofinite structures	2014	Anand Pillay
+	Expanding phenomena over matrix rings	2018	Yeşi̇m Demiroğlu Karabulut Doowon Koh Thang Pham Chun‐Yen Shen Lê Anh Vinh
+	Exposition of Elekes Szabo paper	2015	Hong Wang
+	Polynomials vanishing on grids: The Elekes-R\'onyai problem revisited	2014	Orit E. Raz Micha Sharir József Solymosi

Action	Title	Year	Authors
+	Probabilistic algorithms for sparse polynomials	1979	Richard Zippel
+	Cohomologie locale des faisceaux cohérents et théorèmes de Lefschetz locaux et globaux	1962	Alexandre Grothendieck
+	Several Complex Variables with Connections to Algebraic Geometry and Lie Groups	2002	Joseph L. Taylor
+	On Ritt's polynomial decomposition theorems	2008	Michael E. Zieve
+ PDF Chat	Approximate Subgroups of Linear Groups	2011	Emmanuel Breuillard Ben Green Terence Tao
+ PDF Chat	Regularity lemmas for stable graphs	2013	M. Malliaris Saharon Shelah
+ PDF Chat	Sums of Dilates in Groups of Prime Order	2011	Alain Plagne
+ PDF	Explicit constructions of extractors and expanders	2009	Norbert Hegyvári François Hennecart
+ PDF	On Sums of Dilates	2009	Javier Cilleruelo Yahya Ould Hamidoune Oriol Serra
+ PDF Chat	Distance sets of well-distributed planar sets for polygonal norms	2006	Sergeĭ Konyagin Izabella Łaba