2 papers
math.NT2020
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…
math.NT2020
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}}},…