Imre Z. Ruzsa

collaborators

3 papers

math.NT2026

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…

math.CA2025

Densitometria I. Discrete groups

Szil\' ard Gy. R\' ev\' esz, Imre Z. Ruzsa

An upper mean here is a subadditive functional $M$ defined on bounded functions on a commutative group which has, beside some natural requirements, the property we call r…

math.CO2025

The fractional chromatic number of the plane is at least 4

We prove that the fractional chromatic number $I ¨ _{f} (R^{2})$ of the unit distance graph of the Euclidean plane is greater than or equal to $4$ . Interestingly, however, we cann…