The ABC Theorem for Meromorphic Functions

Details The ABC Theorem for Meromorphic Functions The ABC Theorem for Meromorphic Functions

2008-05-12

arxiv.org/abs/0805.1729v1

Mathematics

Number Theory

7 pages

Scientific paper

Using a `height-to-radical' identity, we define the archimedean contribution to the radical, $r_\arch$, and we give a new proof of the abc theorem for the field of meromorphic functions. The first step of the proof is completely formal and yields that the height is bounded by the radical, $h\leq r$, where $r=r_\na+r_\arch$ is the radical completed with the archimedean contribution. The second step is analytic in nature and uses the lemma on the logarithmic derivative to derive a bound for $r_\arch$.

Affiliated with

Also associated with

No associations

Rating

The ABC Theorem for 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 The ABC Theorem for Meromorphic Functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The ABC Theorem for Meromorphic Functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-326324