An Ahlfors Islands Theorem for non-archimedean meromorphic functions

Details An Ahlfors Islands Theorem for non-archimedean meromorphic functions An Ahlfors Islands Theorem for non-archimedean meromorphic functions

2004-07-08

arxiv.org/abs/math/0407142v1

Mathematics

Number Theory

26 pages

Scientific paper

We present a p-adic and non-archimdean version of the Five Islands Theorem for meromorphic functions from Ahlfors' theory of covering surfaces. In the non-archimedean setting, the theorem requires only four islands, with explicit constants. We present examples to show that the constants are sharp and that other hypotheses of the theorem cannot be removed. This paper extends an earlier theorem of the author for holomorphic functions.

Affiliated with

Also associated with

No associations

Rating

An Ahlfors Islands Theorem for non-archimedean meromorphic functions 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 An Ahlfors Islands Theorem for non-archimedean meromorphic functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An Ahlfors Islands Theorem for non-archimedean meromorphic functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-222534