Inverse Erdos-Fuchs theorem for k-fold sumsets

TL;DR

This paper extends Ruzsa's inverse Erdos-Fuchs theorem to k-fold sumsets, broadening the understanding of additive number theory and sumset structure.

Contribution

It introduces a generalized version of the inverse Erdos-Fuchs theorem applicable to k-fold sumsets, advancing theoretical knowledge.

Findings

Generalization of the inverse Erdos-Fuchs theorem to k-fold sumsets

New bounds and structural insights for sumsets

Enhanced understanding of additive combinatorics

Abstract

We generalize a result of Ruzsa on the inverse Erdos-Fuchs theorem for k-fold sumsets.