On Fermat’s Last Theorem Matrix Version and Galaxies of Sequences of Circulant Matrices with Positive Integers as Entries

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Joachim Moussounda Mouanda
Joachim Moussounda Mouanda
2
Kinvi Kangni
Kinvi Kangni
3
Jean Raoul Tsiba
Jean Raoul Tsiba

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GJSFR Volume 22 Issue F2

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On Fermat’s Last Theorem Matrix Version and Galaxies of Sequences of Circulant Matrices with Positive Integers as Entries Banner
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We introduce Mouanda’s choice function for matrices which allows us to construct the galaxies of sequences of triples of circulant matrices with positive integers as entries. We give many examples of the galaxies of circulant matrices with positive integers as entries. The characterization of the matrix solutions of the equation allows us to show that the equation has no circulant matrix with positive integers as entries solutions. This allows us to prove that, in general, the equation has no circulant matrix with positive integers as entries solutions. We prove Fermat’s Last Theorem for eigenvalues of circulant matrices. Also, we show Fermat’s Last Theorem for complex polynomials over associated to circulant matrices.

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The authors declare no conflict of interest.

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Joachim Moussounda Mouanda. 2026. \u201cOn Fermat’s Last Theorem Matrix Version and Galaxies of Sequences of Circulant Matrices with Positive Integers as Entries\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 22 (GJSFR Volume 22 Issue F2): .

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An in-depth study on Fermat's Last Theorem and matrices with positive integers. Advances in number theory and matrix applications.
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GJSFR Volume 22 Issue F2
Pg. 37- 65
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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification: MSC 2010: 11D41, 11C08, 03C95.
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June 1, 2022

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English

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We introduce Mouanda’s choice function for matrices which allows us to construct the galaxies of sequences of triples of circulant matrices with positive integers as entries. We give many examples of the galaxies of circulant matrices with positive integers as entries. The characterization of the matrix solutions of the equation allows us to show that the equation has no circulant matrix with positive integers as entries solutions. This allows us to prove that, in general, the equation has no circulant matrix with positive integers as entries solutions. We prove Fermat’s Last Theorem for eigenvalues of circulant matrices. Also, we show Fermat’s Last Theorem for complex polynomials over associated to circulant matrices.

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On Fermat’s Last Theorem Matrix Version and Galaxies of Sequences of Circulant Matrices with Positive Integers as Entries

Joachim Moussounda Mouanda
Joachim Moussounda Mouanda
Kinvi Kangni
Kinvi Kangni
Jean Raoul Tsiba
Jean Raoul Tsiba

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