Fixed Points of the q-Bracket on the p-Adic Unit Disk

Details Fixed Points of the q-Bracket on the p-Adic Unit Disk Fixed Points of the q-Bracket on the p-Adic Unit Disk

2009-02-25

arxiv.org/abs/0902.4284v2

Mathematics

Number Theory

11 pages. The new version (7/11) has an expanded introduction and some sharper results now contained in Theorem 6, including a

Scientific paper

We study the fixed points of the q-bracket on the complex unit disk, and prove the following. The set of (nontrivial) pairs (x,q) such that [x]_q=x form a manifold whose standard projections both have degree p-2. There is an analytic function Q(X) taking x to q for which [x]_q=x, which is a (bijective) contraction unless the multiplicity of the residue of x in the fiber over q is two. The restriction of the theory to Z_p is trivial unless p=3.

Affiliated with

Also associated with

No associations

Rating

Fixed Points of the q-Bracket on the p-Adic Unit Disk 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 Fixed Points of the q-Bracket on the p-Adic Unit Disk, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fixed Points of the q-Bracket on the p-Adic Unit Disk will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-157421