On Poonen's Conjecture Concerning Rational Preperiodic Points of Quadratic Maps

Details On Poonen's Conjecture Concerning Rational Preperiodic Points of Quadratic Maps On Poonen's Conjecture Concerning Rational Preperiodic Points of Quadratic Maps

2009-09-28

arxiv.org/abs/0909.5050v2

Mathematics

Dynamical Systems

revised. too appear in Rocky Mountain Journal of Math

Scientific paper

The purpose of this note is give some evidence in support of conjectures of Poonen, and Morton and Silverman, on the periods of rational numbers under the iteration of quadratic polynomials. In particular, Poonen conjectured that there are at most 9 periodic points defined over the rational numbers for any map in the family x^2 + c for c rational. We verify this conjecture for c values up to height 10^8. For quadratic number fields, we provide evidence that the upper bound on the exact period of Q-rational periodic point is 6.

Affiliated with

Also associated with

No associations

Rating

On Poonen's Conjecture Concerning Rational Preperiodic Points of Quadratic Maps 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 Poonen's Conjecture Concerning Rational Preperiodic Points of Quadratic Maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Poonen's Conjecture Concerning Rational Preperiodic Points of Quadratic Maps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-234713