Jacob's ladders, our asymptotic formulae (1981) connected with the equation Z'(t)=0 as a base for new ζ-equivalents of the Fermat-Wiles theorem and some other results

2025/09/22 by Jan Moser, Moser, Jan
Mathematics · #Analytic Number Theory Research #Advanced Mathematical Identities #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2509.17626

Abstract

In this paper we obtain new functionals and corresponding ζ-equivalents of the Fermat-Wiles theorem. These are generated by our asymptotic formulae (1981) for the function Z'(t) which we are now using to prove essential influence of the Lindel" of hypothesis on the distribution of the roots of odd order of the equation Z'(t)=0.

Citations

• Jacob's ladders, the structure of the Hardy-Littlewood integral and some new class of nonlinear integral equations

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