Number Theory

    

Two Proofs of Fermat’s Last Theorem by Relating to Monic Polynomial Properties

Authors: Tae Beom Lee

Fermat's Last Theorem(FLT) states that there is no natural number set {a,b,c,n} which satisfies a^n+b^n=c^n when n≥3. In this thesis, we related the LHS of a^n=c^n-b^n to x^n-a^n and the RHS to x^n-(c^n-b^n). By doing so, we could analyse FLT in view of properties of monic polynomials such as factoring, root structure and graphs.The polynomial properties narrowed the vast possible approaches to FLT to elementary level mathematics. We relied on factoring, rational root theorem and parallel movement of graphs. And we succeeded to find simple proofs of FLT, which many people waited for so long time.

Comments: 5 Pages. (Correction on author name made by viXra Admin - Please conform!)

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Submission history

[v1] 2023-07-27 07:28:28

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