Algebraic Proof for the Geometric Structure of Sumsets

Jae Wook Lee

Type: Article

Publication Date: 2011-01-01

Citations: 5

DOI: https://doi.org/10.1515/integ.2011.034

Similar Works

Action	Title	Year	Authors
+	Geometric structure of sumsets	2007	Jae-Woo Lee
+	Additive geometry	2006	Terence Tao Van H. Vu
+ PDF Chat	Pick's Theorem and Sums of Lattice Points	2018	Karl Levy Melvyn B. Nathanson
+	An Historical Overview of Lattice Point Sets	2002	Yüan Wang Fred J. Hickernell
+	Lattices and the Geometry of Numbers	2021	Sourangshu Ghosh
+	Convexity of distinct sum sets	2018	Alexander Lemmens
+	Convexity of distinct sum sets	2018	Alexander K. Lemmens
+	Effective results on the size and structure of sumsets	2021	Andrew Granville George Shakan Aled Walker
+	Chapter 2: Tools from the Geometry of Numbers and Integer Optimization	2012
+	Sumsets and the Convex Hull	2010	Máté Matolcsi Imre Z. Ruzsa
+	Pick's theorem and sums of lattice points	2015	K. B. Levy Melvyn B. Nathanson
+	Lattice Points in Convex Sets	1976	P. R. Scott
+	Lattice Points in Convex Sets	1976	P. R. Scott
+	Lattices and the Geometry of Numbers	2021	Sourangshu Ghosh
+	Algebraic geometry and sums of squares	2020	Mauricio Velasco
+	Additive combinatorics and geometry of numbers	2007	Imre Z. Ruzsa
+	A Geometric Approach to Carlitz-Dedekind Sums	2007	Asia R. Matthews
+	Minkowski’s theorem on lattice points in convex sets	1968	K. Chandrasekharan
+	Lattice Points and Pick's Theorem	1979	Andy C. F. Liu
+	Lattice Points and Pick's Theorem	1979

Action	Title	Year	Authors
+	Khovanskii's theorem and effective results on sumset structure.	2020	Michael Curran Leo Goldmakher
+ PDF Chat	Khovanskii's theorem and effective results on sumset structure	2021	Michael Curran Leo Goldmakher
+ PDF Chat	Sumsets and Veronese varieties	2022	Liena Colarte-Gómez Juan Elías Rosa M. Miró-Roig
+	Iterated Minkowski sums, horoballs and north-south dynamics	2022	Jeremias Epperlein Tom Meyerovitch
+	A New Proof of Khovanskiĭ’s Theorem on the Geometry of Sumsets	2017	Jae Wook Lee

Action	Title	Year	Authors
+ PDF Chat	Growth of Sumsets in Abelian Semigroups	2000	Melvyn B. Nathanson
+	Newton polyhedron, Hilbert polynomial, and sums of finite sets	1992	Askold Khovanskiĭ
+ PDF Chat	Logarithm laws for unipotent flows, I	2009	Jayadev S. Athreya G. A. Margulis
+	Sur un problème de géométrie diophantienne linéaire. II.	1967	Emil Ehrhardt
+	None	1998	Shu-Ping Han Christoph Kirfel Melvyn B. Nathanson