3 papers
math.NT2025
Difference sets and positive exponential sums II: cubic residues in cyclic groups
Mate Matolcsi, Imre Z. Ruzsa
By constructing suitable nonnegative exponential sums we give upper bounds on the cardinality of any set in cyclic groups $\ZZ_q$ such that the difference set avoid…
math.CO2025
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 cann…
math.CA2025
Maximality and completeness of orthogonal exponentials on the cube
Mihail N. Kolountzakis, Nir Lev, Máté Matolcsi
It is possible to have a packing by translates of a cube that is maximal (i.e.\ no other cube can be added without overlapping) but does not form a tiling. In the long running anal…