by John A. Zuehlke
This article originally appeared in:
American Mathematical Monthly
January, 1999
Subject classification(s):
Algebra and Number Theory | Number Theory | Famous ProblemsApplicable Course(s):
4.3 Number TheoryAndrew Wiles proves that Fermat's Last Theorem is false for integer exponents larger than \(2 \). Using the Gelfond-Schneider Theorem on transcendental numbers, the author generalizes Wiles' result easily by showing that Fermat's Last Theorem is false for Gaussian integer exponents that are not real.
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Capsule Course Topic(s):
Number Theory | Diophantine Problems, Fermat's Last Theorem