Jacob's ladders, almost linear increments of the Hardy-Littlewood integral (1918) and their relation to the Titchmarsh's sums (1943) and the Fermat-Wiles theorem

2024/01/08 by Moser, Jan · 1 citation
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2401.03781

Abstract

In this paper we give some new consequences that follow from our formula for increments of the Hardy-Littlewood integral. The main of these ones are T₁ and T₂ equivalents of the Fermat-Wiles theorem.

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

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