|Title:||Distance sets over arbitrary finite fields||Authors:||Pham, Thang
|Issue Date:||1-Oct-2019||Journal Volume:||63||Journal Issue:||3||Source:||Illinois Journal of Mathematics||Abstract:||
© 2019 by the University of Illinois at Urbana-Champaign. 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.
|Appears in Collections:||數學系|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.