Ubiquity of simplices in subsets of vector spaces over finite fields

Details Ubiquity of simplices in subsets of vector spaces over finite fields Ubiquity of simplices in subsets of vector spaces over finite fields

2007-03-16

arxiv.org/abs/math/0703504v2

Mathematics

Classical Analysis and ODEs

10 pages

Scientific paper

We prove that a sufficiently large subset of the $d$-dimensional vector space
over a finite field with $q$ elements, $ {\Bbb F}_q^d$, contains a copy of
every $k$-simplex. Fourier analytic methods, Kloosterman sums, and
bootstrapping play an important role.

Affiliated with

Also associated with

No associations

Rating

Ubiquity of simplices in subsets of vector spaces over finite fields 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 Ubiquity of simplices in subsets of vector spaces over finite fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ubiquity of simplices in subsets of vector spaces over finite fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-432944