Add to ORKGIt was shown by V. Bergelson that any set B ⊆ N with positive upper multiplicative density contains nicely intertwined arithmetic and geometric progressions: For each k ∈ N there exist a, b, d ∈ N such that ˘b(a+ id)j: i, j ∈ {1, 2,..., k} ¯ ⊆ B. In particular one cell of each finite par-tition of N contains such configurations. We prove a Hales-Jewett type extension of this partition theorem. 1
A partition λ of a positive integer n is a sequence λ1 λ2 λm 0 of integers such that ∑λi n. F...
AbstractFor a given set M of positive integers, a problem of Motzkin asks for determining the maxima...
A partition is a way that a number can be written as a sum of other numbers. For example, the number...
It was shown by V. Bergelson that any set B ⊆ N with positive upper multiplicative density contains ...
In a recent paper A variant of the Hales-Jewett theorem , M. Beiglböck provides a version of the cl...
Abstract. For any n ≥ 0 and k ≥ 1, the density Hales-Jewett number cn,k is defined as the size of th...
In this paper prove results concerning restrictions on the cardinality of the wildcard set in the de...
We construct for every integer $k\geq 3$ and every real $\mu\in(0, \frac{k-1}{k})$ a set of integers...
International audienceThe Hales-Jewett Theorem states that given any finite nonempty set A and any f...
Abstract: We prove two extensions of the Hales-Jewett coloring theorem. The first is a polynomial ve...
We shall show here that van der Waerden’s theorem on arithmetic progressions and its variants, the H...
An arithmetic progression is a sequence of numbers such that the difference between the consecutive ...
Andrews and Olsson [2] have recently proved a general partition identity a special case of which pro...
We prove a result which implies that, for any real numbers $a$ and $b$ satisfying $0 leq a leq b leq...
We prove two extensions of the Hales-Jewett coloring theorem. The first is a polynomial version of a...
A partition λ of a positive integer n is a sequence λ1 λ2 λm 0 of integers such that ∑λi n. F...
AbstractFor a given set M of positive integers, a problem of Motzkin asks for determining the maxima...
A partition is a way that a number can be written as a sum of other numbers. For example, the number...
It was shown by V. Bergelson that any set B ⊆ N with positive upper multiplicative density contains ...
In a recent paper A variant of the Hales-Jewett theorem , M. Beiglböck provides a version of the cl...
Abstract. For any n ≥ 0 and k ≥ 1, the density Hales-Jewett number cn,k is defined as the size of th...
In this paper prove results concerning restrictions on the cardinality of the wildcard set in the de...
We construct for every integer $k\geq 3$ and every real $\mu\in(0, \frac{k-1}{k})$ a set of integers...
International audienceThe Hales-Jewett Theorem states that given any finite nonempty set A and any f...
Abstract: We prove two extensions of the Hales-Jewett coloring theorem. The first is a polynomial ve...
We shall show here that van der Waerden’s theorem on arithmetic progressions and its variants, the H...
An arithmetic progression is a sequence of numbers such that the difference between the consecutive ...
Andrews and Olsson [2] have recently proved a general partition identity a special case of which pro...
We prove a result which implies that, for any real numbers $a$ and $b$ satisfying $0 leq a leq b leq...
We prove two extensions of the Hales-Jewett coloring theorem. The first is a polynomial version of a...
A partition λ of a positive integer n is a sequence λ1 λ2 λm 0 of integers such that ∑λi n. F...
AbstractFor a given set M of positive integers, a problem of Motzkin asks for determining the maxima...
A partition is a way that a number can be written as a sum of other numbers. For example, the number...