AbstractGiven a set A whose density and Banach density are equal (such sets can be found “inside” any set with positive Banach density) it is shown, as a corollary to a more general theorem, that the union of finitely many translates of A has arbitrarily large lower density. Examples are given to show that the general theorem is best possible
Funding: National Natural Science Foundation of China (11671189,11971109).Given α,β,γ∈[0,1] with α≤β...
We show that any subset of the natural numbers with positive logarithmic Banach density contains a s...
Given two sets of natural numbers (Formula presented.) and (Formula presented.) of natural density 1...
AbstractGiven a set A whose density and Banach density are equal (such sets can be found “inside” an...
AbstractThe principal result is that if a question of Erdös about pairwise sums has a counterexample...
Erdős conjectured that for any set A of natural numbers with positive lower asymptotic density, ther...
AbstractLet A and B be two infinite sets of non-negative integers. Similar to Kneser's Theorem (Theo...
Beiglboeck, Bergelson and Fish proved that if subsets A,B of a countable discrete amenable group G h...
In this paper some links between the density of a set of integers and the density of its sumset, pro...
A theorem of Folner asserts that for any set A subset of Z of positive upper density there is a Bohr...
Abstract upper densities are monotone and subadditive functions from the power set of positive integ...
AbstractExtending previous results, we give a new description of the density set, that is the set of...
We present a short and self-contained proof of Jin's theorem about the piecewise syndeticity of dier...
Funding: VK is supported by the Croatian Science Foundation, project n◦ UIP-2017-05-4129 (MUNHANAP)....
Let P(N) be the power set of N. An upper density (on N) is a nondecreasing and subadditive function ...
Funding: National Natural Science Foundation of China (11671189,11971109).Given α,β,γ∈[0,1] with α≤β...
We show that any subset of the natural numbers with positive logarithmic Banach density contains a s...
Given two sets of natural numbers (Formula presented.) and (Formula presented.) of natural density 1...
AbstractGiven a set A whose density and Banach density are equal (such sets can be found “inside” an...
AbstractThe principal result is that if a question of Erdös about pairwise sums has a counterexample...
Erdős conjectured that for any set A of natural numbers with positive lower asymptotic density, ther...
AbstractLet A and B be two infinite sets of non-negative integers. Similar to Kneser's Theorem (Theo...
Beiglboeck, Bergelson and Fish proved that if subsets A,B of a countable discrete amenable group G h...
In this paper some links between the density of a set of integers and the density of its sumset, pro...
A theorem of Folner asserts that for any set A subset of Z of positive upper density there is a Bohr...
Abstract upper densities are monotone and subadditive functions from the power set of positive integ...
AbstractExtending previous results, we give a new description of the density set, that is the set of...
We present a short and self-contained proof of Jin's theorem about the piecewise syndeticity of dier...
Funding: VK is supported by the Croatian Science Foundation, project n◦ UIP-2017-05-4129 (MUNHANAP)....
Let P(N) be the power set of N. An upper density (on N) is a nondecreasing and subadditive function ...
Funding: National Natural Science Foundation of China (11671189,11971109).Given α,β,γ∈[0,1] with α≤β...
We show that any subset of the natural numbers with positive logarithmic Banach density contains a s...
Given two sets of natural numbers (Formula presented.) and (Formula presented.) of natural density 1...
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