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Kakeya, S. (1912) On the Limits of the Roots of an Algebraic Equation with Positive Coefficients. The Tohoku Mathematical Journal, First Series, 2, 140-142.

has been cited by the following article:

• TITLE: Fermat Polynomials and Extended Fermat’s Theorem

  AUTHORS: Huda Alsaud, Ramon Carbó-Dorca

  KEYWORDS: Perfect Vectors, Reverse Perfect Vectors, Natural Spaces, Natural Minkowski Spaces, Fermat’s Last Theorem, Fermat Vectors, Fermat Polynomials, Extended Fermat’s Theorem, Computational (Event) Horizon Effect

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.14 No.4, April 28, 2026

  ABSTRACT: Starting from perfect natural vectors, Fermat’s Last Theorem, and its possible extension to higher dimensions and orders, can be studied by means of Minkowski natural spaces. In the present study, in addition, such a framework permits us to discuss the connection between Fermat’s perfect natural vectors and some specific Fermat polynomials, whose maximal root is a natural number forming part of the Fermat vector, the largest element, or the Fermat vector radius. Apart from the definition, nature, and construction of Fermat’s polynomials, some examples of application are given. When calculated as natural numbers, the maximal roots of Fermat’s polynomials constitute an alternative algorithm to find Fermat’s vectors and thus to explore the Fermat theorem not only in (2 + 1) Minkowski natural spaces, as originally formulated, but in any dimension and order.