Sumsets in quadratic residues

Abstract

We describe all sets $A \subseteq {\mathbb F}_p$ which represent the quadratic residues $R \subseteq {\mathbb F}_p$ in the sense that $R=A+A$ or $R=A\mathbin {\hat{+} }A$. Also, we consider the case of an approximate equality $R \approx A+A$ and $R \appro

Locations

• Acta Arithmetica - View - PDF
• arXiv (Cornell University) - View - PDF