Jacob's ladders and the equivalent of the Fermat-Wiles theorem generated by the Hardy-Littlewood formula (1921)

Abstract

In this paper we prove that the 105 years old Lemma 18 of Hardy and Littlewood from theirs fundamental paper 2 is able to generate, for example, a continuum set of new ζ-equivalents of the Fermat-Wiles theorem.

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