Number Theory

    

AAC Conjecture for a Simple and Finer Version of FLT

Authors: Shunichi Katoh

This paper presents AAC conjecture for a simple and finer version of FLT (Fermat's Last Theorem) which had been FLC (Fermat's Last Conjecture) for more than 350 years since 1637 and was finally proved in the end of the 20th cencury in a profoundly sophisticated and complex way. However complex the proof is, FLC itself is very simple. It conjectures that a simple equation has no solutions. AAC conjecture comes from a pursuit of a simpler proof of FLC. It conjectures that two simple equations have no solutions except some evident ones. It is shown, in a rigorous and step-by-step way, that if AAC is true then FLC is true, and that AAC is a finer version of FLC. AAC conjecture will give us a finer view and an opportunity for finding a simple proof of FLC. If AAC conjecture is proved without using FLT, then AAC theorem will be a theorem for itself, and FLT will be a beautiful specialization of AAC theorem.

Comments: 4 Pages. Opportunity for Finding a Simple Proof of FLC.

Download: PDF

Submission history

[v1] 2014-03-19 15:12:23
[v2] 2014-03-21 03:08:46

Unique-IP document downloads: 269 times

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