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ISSUE:    Almanac of Modern Science and Education. 2014. Issue 8
COLLECTION:    Physical-Mathematical Sciences

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ABOUT ONE METHOD OF FERMAT’S THEOREM PROOF

Vadim Nikolaevich Romanov
National Mineral Resources University (University of Mines)
Submitted: July 10, 2014
Abstract. This paper proposes a method of Fermat’s 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:
теория чисел
теорема Ферма
разложение уравнения в ряд
весовые коэффициенты
действительные корни функции
задача о наименьшем уклонении
theory of numbers
Fermat’s theorem
expansion of equation in series
weighted coefficients
real roots of function
problem on least deviation
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References:
  1. Романов В. Н. Натуральные числа и теорема Ферма // Альманах современной науки и образования. Тамбов: Грамота, 2014, № 3. С. 151-162.
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