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A lower bound for the number of pinned angles determined by a Cartesian product set

Authors :
Roche-Newton, Oliver
Publication Year :
2024

Abstract

We prove that, for any $B \subset \mathbb R$, the Cartesian product set $B \times B$ determines $\Omega(|B|^{2+c})$ distinct angles.

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2406.06206
Document Type :
Working Paper