Tight bounds on additive Ramsey-type numbers

Karol Cwalina, Tomasz Schoen

Type: Article

Publication Date: 2017-10-05

Citations: 12

DOI: https://doi.org/10.1112/jlms.12081

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Locations

Journal of the London Mathematical Society - View

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Works That Cite This (12)

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+	A Diophantine Ramsey Theorem	2020	Tomasz Schoen
+ PDF Chat	Bootstrapping partition regularity of linear systems	2020	Tom Sanders
+ PDF Chat	A Subexponential Upper Bound for van der Waerden Numbers $W(3,k)$	2021	Tomasz Schoen
+ PDF Chat	Monochromatic sums and products	2016	Ben Green Tom Sanders
+ PDF Chat	Partition regularity and multiplicatively syndetic sets	2020	Jonathan Chapman
+ PDF Chat	On the Ramsey number of the Brauer configuration	2020	Jonathan Chapman Sean Prendiville
+	Rado's criterion over squares and higher powers	2021	Sam Chow Sofia Lindqvist Sean Prendiville
+ PDF Chat	Partition Regularity of Generalised Fermat Equations	2018	Sofia Lindqvist
+	A subexponential upper bound for van der Waerden numbers W(3,k)	2020	Tomasz Schoen
+	On the Ramsey number of the Brauer configuration	2019	Jonathan Chapman Sean Prendiville

Works Cited by This (25)

Action	Title	Year	Authors
+ PDF Chat	Sum-free sets of integers	1966	Leo Moser H. L. Abbott
+ PDF Chat	The size of Fulton's essential set	1995	Kimmo Eriksson Svante Linusson
+	The ramsey number N(3, 3, 3, 3; 2)	1973	Earl Glen Whitehead
+	Arithmetic progressions in sumsets	2002	B. Green
+	On Triples in Arithmetic Progression	1999	Jean Bourgain
+ PDF Chat	Additive structures in sumsets	2008	Tom Sanders
+	On Sets of Integers Which Contain No Three Terms in Arithmetical Progression	1946	Felix Behrend
+ PDF Chat	Roth’s theorem in many variables	2013	Tomasz Schoen Ilya D. Shkredov
+ PDF Chat	On the Bogolyubov–Ruzsa lemma	2012	Tom Sanders
+	Integer Sum Sets Containing Long Arithmetic Progressions	1992	Gregory A. Freiman H. Halberstam Imre Z. Ruzsa