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arXiv · 1610.03172

Pinned algebraic distances determined by Cartesian products in $\mathbb{F}_p^2$

Giorgis Petridis
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Abstract

Let $p$ be an odd prime and $A \subseteq \mathbb{F}_p$ be a subset of the finite field with $p$ elements. We show that $A \times A \subseteq \mathbb{F}_p^2$ determines at least a constant multiple of $\min\{p, |A|^{3/2}\}$ distinct pinned algebraic distances.

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Giorgis Petridis. 2017-01-12. Pinned algebraic distances determined by Cartesian products in $\mathbb{F}_p^2$. https://arxiv.org/abs/1610.03172

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