Anne de Roton

collaborators

2 papers

math.NT2025

A note on iterated sumsets races

Paul PÃ©ringuey, Anne de Roton

This short note answers a question raised by Nathanson \cite{Nath25} about "races" between iterated sumsets. We prove that for any integer $n$ , there are finite sets of integers $A…

math.NT2025

Additively stable sets, critical sets for the 3k-4 theorem in $Z$ and $R$

We describe in this paper additively left stable sets, i.e. sets satisfying $((A + A) - in f (A)) \cap [in f (A), sup (A)] = A$ (meaning that $A - in f (A)$ is stable by addition with…

A note on iterated sumsets races

Additively stable sets, critical sets for the 3k-4 theorem in Z and R

Additively stable sets, critical sets for the 3k-4 theorem in $Z$ and $R$