Fermat’s Last Theorem and Related Problems
Darell Cox, Sourangshu Ghosh, Eldar Sultanow
Journal of Advances in Mathematics and Computer Science · pp. 6–34 · Published 12 Jun 2021
10.9734/jamcs/2021/v36i530361Abstract
Empirical evidence in support of generalizations of Fermat's equation is presented. The empirical evidence consists mainly of results for the p = 3 case where Fermat's Last Theorem is almost false. The empirical evidence also consists of results for general p values. The \pth power with respect to" concept (involving congruences) is introduced and used to derive these generalizations. The classical Furtwangler theorems are reformulated. Hasse used one of his reciprocity laws to give a more systematic proof of Furtwangler's theorems.
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