2021
DOI: 10.48550/arxiv.2104.14366
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Distribution of distances in five dimensions and related problems

Clément François1,
Thang V. Pham2

Abstract: In this paper, we study the Erdős-Falconer distance problem in five dimensions for sets of Cartesian product structure. More precisely, we show that for A ⊂ F p with |A| ≫ p 13 22 , then ∆(A 5 ) = F p . When |A − A| ∼ |A|, we obtain stronger statements as follows:

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