On the Length of Critical Orbits of Stable Quadratic Polynomials

Details On the Length of Critical Orbits of Stable Quadratic Polynomials On the Length of Critical Orbits of Stable Quadratic Polynomials

2009-09-22

arxiv.org/abs/0909.3972v3

Mathematics

Number Theory

Scientific paper

We use the Weil bound of multiplicative character sums together with some
recent results of N. Boston and R. Jones, to show that the critical orbit of
quadratic polynomials over a finite field of $q$ elements is of length
$O(q^{3/4})$, improving upon the trivial bound $q$.

Affiliated with

Also associated with

No associations

Rating

On the Length of Critical Orbits of Stable Quadratic 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 On the Length of Critical Orbits of Stable Quadratic Polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Length of Critical Orbits of Stable Quadratic Polynomials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-300748