Recall that van der Waerden's theorem states that any finite coloring of the naturals has arbitrarily long monochromatic arithmetic sequences. We explore questions about the set of differences of those sequences. (C) 2016 Elsevier Ltd. All rights reserved
An arithmetic progression is a sequence of numbers such that the difference between the consecutive ...
In 1936, Erdős–Turán conjectured that any set of integers with positive upper density contains arbit...
In this paper, we investigate the anti-Ramsey (more precisely, anti-van der Waerden) properties of a...
AbstractA 2-coloring of the non-negative integers and a function h are given such that if P is any m...
Analogues of van der Waerden’s theorem on arithmetic progressions are considered where the family of...
AbstractF. Cohen raised the following question: Determine or estimate a function F(d) so that if we ...
We construct for every integer $k\geq 3$ and every real $\mu\in(0, \frac{k-1}{k})$ a set of integers...
AbstractRamsey functions similar to the van der Waerden numbers w(n) are studied. If A' is a class o...
AbstractVan der Waerden's classical theorem on arithmetic progressions states that for any positive ...
summary:T. Brown proved that whenever we color $\Cal P_{f} (\Bbb N)$ (the set of finite subsets of n...
We present a self-contained proof of a strong version of van der Waerden’s Theorem. By using transla...
AbstractRamsey numbers similar to those of van der Waerden are examined. Rather than considering ari...
It is known that if $N$ is finitely colored, then some color class is piecewise syndetic. (See Defin...
Dedicated to Endre Szemerédi on the occasion of his 70th birthday. Extending Furstenberg’s ergodic ...
We obtain a double exponential bound in Brauer's generalisation of van der Waerden's theorem, which ...
An arithmetic progression is a sequence of numbers such that the difference between the consecutive ...
In 1936, Erdős–Turán conjectured that any set of integers with positive upper density contains arbit...
In this paper, we investigate the anti-Ramsey (more precisely, anti-van der Waerden) properties of a...
AbstractA 2-coloring of the non-negative integers and a function h are given such that if P is any m...
Analogues of van der Waerden’s theorem on arithmetic progressions are considered where the family of...
AbstractF. Cohen raised the following question: Determine or estimate a function F(d) so that if we ...
We construct for every integer $k\geq 3$ and every real $\mu\in(0, \frac{k-1}{k})$ a set of integers...
AbstractRamsey functions similar to the van der Waerden numbers w(n) are studied. If A' is a class o...
AbstractVan der Waerden's classical theorem on arithmetic progressions states that for any positive ...
summary:T. Brown proved that whenever we color $\Cal P_{f} (\Bbb N)$ (the set of finite subsets of n...
We present a self-contained proof of a strong version of van der Waerden’s Theorem. By using transla...
AbstractRamsey numbers similar to those of van der Waerden are examined. Rather than considering ari...
It is known that if $N$ is finitely colored, then some color class is piecewise syndetic. (See Defin...
Dedicated to Endre Szemerédi on the occasion of his 70th birthday. Extending Furstenberg’s ergodic ...
We obtain a double exponential bound in Brauer's generalisation of van der Waerden's theorem, which ...
An arithmetic progression is a sequence of numbers such that the difference between the consecutive ...
In 1936, Erdős–Turán conjectured that any set of integers with positive upper density contains arbit...
In this paper, we investigate the anti-Ramsey (more precisely, anti-van der Waerden) properties of a...
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