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SOURCE:   Almanac of Modern Science and Education. Tambov: Gramota, 2014. 8. P. 139-143.
SCIENTIFIC AREA: Physical-Mathematical Sciences
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ABOUT ONE METHOD OF FERMATS THEOREM PROOF

Romanov Vadim Nikolaevich
National Mineral Resources University (University of Mines)


Abstract. This paper proposes a method of Fermats theorem proof using the expansion of the original equation in series, which is of the form of a weighted additive function that depends on a single argument and parameters. The dependence of the function roots on the choice of weights is studied and the impossibility of the rational choice of weights is shown. Theoretical study is accompanied by calculations explaining the course of proving.
Key words and phrases: , , , , , , theory of numbers, Fermats theorem, expansion of equation in series, weighted coefficients, real roots of function, problem on least deviation.
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References:
  1. Romanov V. N. Natural'nye chisla i teorema Ferma // Al'manakh sovremennoi nauki i obrazovaniya. Tambov: Gramota, 2014, 3. S. 151-162.

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