Poisson spacing statistics for value sets of polynomials

Details Poisson spacing statistics for value sets of polynomials Poisson spacing statistics for value sets of polynomials

2006-02-28

arxiv.org/abs/math/0602673v1

Mathematics

Number Theory

25 pages

Scientific paper

If f is a polynomial with integer coefficients and q is an integer, we may
regard f as a map from Z/qZ to Z/qZ. We show that the distribution of the
(normalized) spacings between consecutive elements in the image of these maps
becomes Poissonian as q tends to infinity along any sequence of square free
integers such that the mean spacing modulo q tends to infinity.

Affiliated with

Also associated with

No associations

Rating

Poisson spacing statistics for value sets of polynomials 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 Poisson spacing statistics for value sets of polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Poisson spacing statistics for value sets of polynomials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-388778