A tight structure theorem for sumsets

Andrew Granville, Aled Walker

Type: Article

Publication Date: 2021-04-14

Citations: 10

DOI: https://doi.org/10.1090/proc/15608

View Publication

Locations

Proceedings of the American Mathematical Society - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+ PDF Chat	The structure of higher sumsets	2022	Vsevolod F. Lev
+	Infinite sumsets in sets with positive density	2023	Bryna Kra Joel Moreira Florian Richter Donald Robertson
+ PDF Chat	Effective Results on the Size and Structure of Sumsets	2023	Andrew Granville George Shakan Aled Walker
+	A note on the interior and dimensions of typical sumsets	2023	Jian-Ci Xiao
+ PDF Chat	Sumsets and fixed points of substitutions	2022	F. M. Dekking
+ PDF Chat	Rich sets	1980	C. T. Chong
+ PDF Chat	On the structure of sets of uniqueness	1987	Russell Lyons
+ PDF Chat	Sumsets of measurable sets	1980	Melvyn B. Nathanson
+ PDF Chat	On the structure of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>h</mml:mi></mml:math>-fold sumsets	2021	Jun-Yu Zhou Quan-Hui Yang
+	Closed form summation of 𝐶-finite sequences	2006	Curtis Greene Herbert S. Wilf
+ PDF Chat	Inverse theorems for subset sums	1995	Melvyn B. Nathanson
+ PDF Chat	Structure of sets with small sumset	2018	Yuri BILU
+	Almost all sets of nonnegative integers and their small perturbations are not sumsets	2023	Paolo Leonetti
+ PDF Chat	A note on sum-free sets of integers	1980	Mên Ch’ang Hu
+	Long arithmetic progressions in sumsets: Thresholds and bounds	2005	Endre Szemerédi Van Vu
+	A tight structure theorem for sumsets	2020	Andrew Granville Aled Walker
+	A tight structure theorem for sumsets	2020	Andrew Granville Aled Walker
+ PDF Chat	𝐻^{𝑝} joint approximation	1988	Fernando Pérez‐González
+	Introduction to Sumsets	2013	David J. Grynkiewicz
+	Signed sums of terms of a sequence	2012	Fengjuan Chen Yong-Gao Chen

Works That Cite This (12)

Action	Title	Year	Authors
+	On the structure of the $h$-fold sumsets	2020	Jun-Yu Zhou Quan-Hui Yang
+ PDF Chat	On the structure of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>h</mml:mi></mml:math>-fold sumsets	2021	Jun-Yu Zhou Quan-Hui Yang
+ PDF Chat	The structure of higher sumsets	2022	Vsevolod F. Lev
+	On algebraic properties of power monoids of numerical monoids	2024	Pierre‐Yves Bienvenu Alfred Geroldinger
+	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	Effective Results on the Size and Structure of Sumsets	2023	Andrew Granville George Shakan Aled Walker
+	On the size and structure of t-representable sumsets	2024	Christian Táfula
+ PDF Chat	Castelnuovo–Mumford Regularity of Projective Monomial Curves via Sumsets	2023	Philippe Giménez Mario González-Sánchez
+ PDF Chat	Sums of Finite Sets of Integers, II	2021	Melvyn B. Nathanson

Works Cited by This (4)

Action	Title	Year	Authors
+	On the structure of the sumsets	2010	Jian-Dong Wu Fengjuan Chen Yong-Gao Chen
+	Generalized More Sums Than Differences sets	2012	Geoffrey Iyer Oleg Lazarev Steven J. Miller Liyang Zhang
+	Additive Combinatorics	2006	Terence Tao Van H. Vu
+ PDF Chat	The Frobenius postage stamp problem, and beyond	2020	Andrew Granville George Shakan