Jacob's ladders, logarithmic modification of the Hardy-Littlewood integral (1918), Titchmarsh's Ω-theorem (1928) and new point of contact with the Fermat-Wiles theorem

2024/06/04 by Moser, Jan · 1 citation
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2406.02278

Abstract

In this paper we obtain two new points of contact between Jacob's ladders and Fermat-Wiles theorem. They are generated by a logarithmic modification of the Hardy-Littlewood integral. Furthermore, we present a kind of asymptotic laws of conservation for a set of areas connected with above mentioned modification of the Hardy-Littlewood integral.

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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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