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| viXra.org > Nuclear and Atomic Physics > viXra:2404.0098 |
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Nuclear and Atomic Physics |
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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 or a^n=c^n-b^n, when n≥3. In this thesis, we related LHS and RHS of a^n=c^n-b^n to the constant terms of two monic polynomials f(x)=x^n-a^n and g(x)=x^n-(c^n-b^n). By doing so, the conditions to satisfy the number identity, a^n=c^n-b^n, are transferred to the conditions to satisfy the polynomial identity, f(x)=g(x), which leads to a trivial solution, a=c,b=0, when n≥3.
Comments: 3 Pages. Minor errors are corrected with readability improvement.
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[v1] 2024-04-20 23:53:42
[v2] 2024-06-06 11:15:43
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