Distance sets over arbitrary finite fields
Journal
Illinois Journal of Mathematics
Journal Volume
63
Journal Issue
3
Pages
469-484
Date Issued
2019
Author(s)
Abstract
In this paper, we study the Erdős distinct distances problem for Cartesian product sets in the setting of arbitrary finite fields. More precisely, let Fq be an arbitrary finite field and A be a set in Fq. Suppose ǀAՈ (αG) ≤ ǀG ǀ1/2 for any subfield G and α ϵ F* q, then (Formula Presented) Using the same method, we also obtain some results on sum-product type problems.
Type
journal article