70 citations · 225 across the 33 of their papers we have counts for
37 papers
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…
Additive decomposition of signed prime
Imre Z. Ruzsa
Under the prime-tuple hypothesis, the set of signed primes is a sumset.
Sumsets of Semiconvex sets
Imre Ruzsa, Jozsef Solymosi
We investigate additive properties of sets where is a monotone increasing set of real numbers, and the differences of consecutive elements are all…
On sums and products along the edges, II
Noga Alon, Imre Ruzsa, Jozsef Solymosi
This note is a continuation of an earlier paper by the authors. We describe improved constructions addressing a question of Erdős and Szemerédi on sums and products of real numbers…
A Weighted Prékopa-Leindler inequality and sumsets with quasicubes
Ben Green, Dávid Matolcsi, Imre Ruzsa +2
We give a short, self-contained proof of two key results from a paper of four of the authors. The first is a kind of weighted discrete Prékopa-Leindler inequality. This is then app…
An analytic approach to cardinalities of sumsets
Dávid Matolcsi, Imre Ruzsa, George Shakan +1
Let be a positive integer and finite. We study $$β(U) : = \inf_{\substack{A , B \neq \emptyset \\ \text{finite}}} \frac{|A+B+U|}{|A|^{1/2}{|B|^{1/2}}},…