Perfect difference sets constructed from Sidon sets

Details Perfect difference sets constructed from Sidon sets Perfect difference sets constructed from Sidon sets

2006-09-08

arxiv.org/abs/math/0609244v1

Mathematics

Number Theory

11 pages, LaTex

Scientific paper

A set A of positive integers is called a perfect difference set if every nonzero integer has an unique representation as the difference of two elements of A. We construct dense perfect difference sets from dense Sidon sets. As a consequence of this new approach, we prove that there exists a perfect difference set A such that A(x) >> x^{\sqrt{2}-1-o(1)}. We also prove that there exists a perfect difference set A such that limsup_{x\to \infty}A(x)/\sqrt x\geq 1/\sqrt 2.

Affiliated with

Also associated with

No associations

Rating

Perfect difference sets constructed from Sidon sets does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Perfect difference sets constructed from Sidon sets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Perfect difference sets constructed from Sidon sets will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-112780