Jacob's ladders, ζ-transformation of the Fourier orthogonal system (2014) and new infinite sets of ζ-equivalents of the Fermat-Wiles theorem

Abstract

In this paper we obtain new infinite sets of ζ-equivalents of the Fermat-Wiles theorem based on the elementary Fourier orthogonal system, Riemann's zeta-function and Jacob's ladders.

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