Analysis of the classical cyclotomic approach to fermat's last theorem

Details Analysis of the classical cyclotomic approach to fermat's last theorem Analysis of the classical cyclotomic approach to fermat's last theorem

2011-03-23

arxiv.org/abs/1103.4458v1

Mathematics

Number Theory

Publications Math\'ematiques UFR Sciences Techniques Besan\c{c}on 2010 (2010) 85-119

Scientific paper

We give again the proof of several classical results concerning the cyclotomic approach to Fermat's last theorem using exclusively class field theory (essentially the reflection theorems), without any calculations. The fact that this is possible suggests a part of the logical inefficiency of the historical investigations. We analyze the significance of the numerous computations of the literature, to show how they are probably too local to get any proof of the theorem. However we use the derivation method of Eichler as a prerequisite for our purpose, a method which is also local but more effective. Then we propose some modest ways of study in a more diophantine context using radicals; this point of view would require further nonalgebraic investigations.

Affiliated with

Also associated with

No associations

Rating

Analysis of the classical cyclotomic approach to fermat's last theorem 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 Analysis of the classical cyclotomic approach to fermat's last theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analysis of the classical cyclotomic approach to fermat's last theorem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-440806