Abstract
The Erdős–Falconer distance problem in Zqd asks one to show that if E⊂Zqd is of sufficiently large cardinality, then the set of distances determined by E satisfies Δ(E)=Zq. Previous results were known only in the case q=pℓ, where p is an odd prime, and as such only showed that all units were obtained in the distance set. We give the first such result over rings Zq where q is no longer confined to be a prime power, and despite this, we show that the distance set of E contains all of Zq whenever E is of sufficiently large cardinality.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
