On Fermat’s Last Theorem Matrix Version and Galaxies of Sequences of Circulant Matrices with Positive Integers as Entries
Keywords:
Fermat's equation, polynomials, model theory, circulant matrices, Mouanda's choise function, galaxy, Toeplitz matrices
Abstract
We construct sequences of triples of circulant matrices with positive integers as entries which are solutions of the equation We introduce Mouanda s choice function for matrices which allows us to construct galaxies of sequences of triples of circulant matrices with positive integers as entries We give many examples of galaxies of circulant matrices The characterization of the matrix solutions of the equation allows us to show that the equation 2 has no circulant matrix with positive integers as entries solutions This allows us to prove that in general the equation 3 has no circulant matrix with positive integers as entries solutions We prove Fermat s Last Theorem for eigenvalues of circulant matrices Also we prove Fermat s Last Theorem for complex polynomials over associated to circulant matrices
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2022-06-01
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