Jacob's ladders, our old formula (1985) and new ζ-equivalent of the Fermat-Wiles theorem on two-parametric set of lemniscates of Bernoulli

2025/12/10 by Jan Moser, Moser, Jan
Mathematics · #Analytic Number Theory Research #Advanced Banach Space Theory #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2512.09812

Abstract

In our paper from 1985 we have constructed two integrals of the Riemann's function Z²(t) over two disconnected sets with asymptotically equal measures such that these two integrals differ by considerably big excess. In the present paper we use the formula for that excess to construct a new ζ-equivalent of the Fermat-Wiles theorem on a two-parametric set of lemniscates of Bernoulli.

Citations

• Jacob's ladders, almost linear increments of the Hardy-Littlewood integral (1918) and their relations to the Selberg's formula (1946) and the Fermat-Wiles theorem
• Jacob's ladders, the structure of the Hardy-Littlewood integral and some new class of nonlinear integral equations

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