8 citations · 9 across the 6 of their papers we have counts for
6 papers
Sieving with square conditions and applications to Hilbert cubes in arithmetic sets
Rainer Dietmann, Christian Elsholtz, Imre Ruzsa
The purpose of this paper is twofold: 1) Applications of Gallagher's larger sieve modulo prime squares do not work. In some relevant cases we can transform the residue class inform…
Densitometria I. Discrete groups
Szil\' ard Gy. R\' ev\' esz, Imre Z. Ruzsa
An upper mean here is a subadditive functional defined on bounded functions on a commutative group which has, beside some natural requirements, the property we call r…
The fractional chromatic number of the plane is at least 4
Máté Matolcsi, Imre Z. Ruzsa, Dániel Varga +1
We prove that the fractional chromatic number of the unit distance graph of the Euclidean plane is greater than or equal to . Interestingly, however, we canno…
On distinct consecutive differences
Imre Ruzsa, George Shakan, Jozsef Solymosi +1
We show that if is a set of real numbers such that the differences of the consecutive elements are distinct, then for and finite $B \subset \mathbb…
On distinct consecutive differences
J. Solymosi
We show that if is a monotone increasing set of numbers, and the differences of the consecutive elements are all distinct, then f…
On the Hardy-Littlewood majorant problem
Ben Green, Imre Ruzsa
Consider a trigonometric polynomial f of degree N, and associate to it the polynomial F in which each coefficient of f is replaced by its absolute value. F is called the majorant o…