Jacob's ladders, Hardy-Littlewood integral (1918) and new asymptotic functional equations for Euler's Gamma function together with the tenth equivalent of the Fermat-Wiles theorem

2024/03/26 by Jan Moser, Moser, Jan · 1 citation
Mathematics · #Algebraic and Geometric Analysis #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Equations Stability Results #Mathematics and Applications #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2403.17522

openalex publication_date 2024/03/26 · openalex created_date 2024/03/28 · openalex updated_date 2026/07/28

Abstract

In this paper new Γ-functional is constructed upon the basis of the set of almost linear increments of the Hardy-Littlewood integral. This functional generates a Γ-equivalent of the Fermat-Wiles theorem and also new set of factorization formulae for Euler's Γ-function.

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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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