Additive number theory: inverse problems and the geometry of sumsets

Melvyn B. Nathanson

Type: Article

Publication Date: 1997-09-01

Citations: 471

DOI: https://doi.org/10.5860/choice.35-0343a

View Publication

Locations

Choice Reviews Online - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Inverse Additive Number Theory. XI. Long arithmetic progressions in sets with small sumsets	2009	Gregory A. Freiman
+	ADDITIVE NUMBER THEORY: THE CLASSICAL BASES (Graduate Texts in Mathematics 164)	1999	Imre Z. Ruzsa
+ PDF Chat	A counterexample to a strong variant of the Polynomial Freiman-Ruzsa conjecture in Euclidean space	2017	Shachar Lovett Oded Regev
+	The Simplest Inverse Problems in Additive Number Theory	2017	Melvyn B. Nathanson
+	Freiman's inverse problem with small doubling property	2007	Renling Jin
+	Extremal problems and the combinatorics of sumsets	2023	Melvyn B. Nathanson
+	Additive Combinatorics	2006	Terence Tao Van H. Vu
+	Additive Combinatorics: A Menu of Research Problems	2018	Béla Bajnok
+	Additive geometry	2006	Terence Tao Van H. Vu
+ PDF Chat	Inverse Problems for Representation Functions in Additive Number Theory	2008	Melvyn B. Nathanson
+	Number Theory and Combinatorics	2011	Titu Andreescu Bogdan Enescu
+	SETS WITH SMALL SUMSET AND RECTIFICATION	2006	Ben Green Imre Z. Ruzsa
+	A structural approach to subset-sum problems	2008	Van V. Vu
+ PDF Chat	A Structural Approach to Subset-Sum Problems	2008	Van Vu
+	Inverse Problems for Representation Functions in Additive Number Theory	2007	Melvyn B. Nathanson
+	Additive problems in abelian groups	2014	Karol Cwalina
+ PDF Chat	Inverse problems for sumset sizes of finite sets of integers	2024	Melvyn B. Nathanson
+ PDF Chat	On Additive Doubling and Energy	2010	Nets Hawk Katz Paul Koester
+	Periodic Sets and Kneser’s Theorem	2013	David J. Grynkiewicz
+	Direct and inverse theorems on signed sumsets of integers	2018	Jagannath Bhanja Ram Krishna Pandey

Works That Cite This (439)

Action	Title	Year	Authors
+ PDF Chat	Extended inverse theorems for $h$-fold sumsets in integers	2023	Mohan Ram Krishna Pandey
+	Iterated Sumsets and Olson's Generalization of the Erdős-Ginzburg-Ziv Theorem	2018	David J. Grynkiewicz
+	Power monoids: A bridge between factorization theory and arithmetic combinatorics	2018	Yushuang Fan Salvatore Tringali
+	A Generalization of an Addition Theorem of Kneser	2002	Xiang‐dong Hou Ka Hin Leung Qing Xiang
+	The large Davenport constant II: General upper bounds	2013	David J. Grynkiewicz
+	Distribution of points on the circle	2007	Øystein J. Rødseth
+	On the product of vector spaces in a commutative field extension	2008	Shalom Eliahou Michel Kervaire Cédric Lecouvey
+ PDF Chat	Revisiting Kneser’s Theorem for Field Extensions	2017	Christine Bachoc Oriol Serra Gilles Zémor
+	Behaving sequences	2010	Weidong Gao Jiangtao Peng Guoqing Wang
+	On the number of popular differences in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mi>p</mml:mi><mml:mi mathvariant="double-struck">Z</mml:mi></mml:math>	2020	Mario Huicochea

Works Cited by This (0)

Action	Title	Year	Authors