Common energies

Number theory

A polynomial criterion is obtained for a set to have a small doubling, expressed in terms of the common additive energy of its subsets.

On common energies and sumsets

In press Journal of Combinatorial Theory, Series A (2025)

We obtain a polynomial criterion for a set to have a small doubling in terms of the common energy of its subsets.

In press Journal of Combinatorial Theory, Series A (2025)