Jacob's ladders, our asymptotic formulae (1981) and next $ζ$-equivalents of the Fermat-Wiles theorem together with decomposition and synthesis of the Riemann's $ζ$-oscillators

In this paper we obtain new $ζ$-equivalents of the Fermat-Wiles theorem. These are generated by our asymptotic formulae (1981) which brought $33.3\%$ improvement of the Hardy-Littlewood exponent $\frac 14$ dated 1918.

Publication Details

Journal
ArXiv.org
Published
2025-08-14
Primary Topic
Holomorphic and Operator Theory
Type
article
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article

Jacob's ladders, our asymptotic formulae (1981) and next $ζ$-equivalents of the Fermat-Wiles theorem together with decomposition and synthesis of the Riemann's $ζ$-oscillators

ArXiv.org
Holomorphic and Operator Theory
article

Jacob's ladders, our asymptotic formulae (1981) and next $ζ$-equivalents of the Fermat-Wiles theorem together with decomposition and synthesis of the Riemann's $ζ$-oscillators

article en

Abstract

In this paper we obtain new $ζ$-equivalents of the Fermat-Wiles theorem. These are generated by our asymptotic formulae (1981) which brought $33.3\%$ improvement of the Hardy-Littlewood exponent $\frac 14$ dated 1918.

ArXiv.org
Openalex Percentile: Top 39%
Holomorphic and Operator Theory
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Jacob's ladders, our asymptotic formulae (1981) and next $ζ$-equivalents of the Fermat-Wiles theorem together with decomposition and synthesis of the Riemann's $ζ$-oscillators · ArXiv.org (2025) | TGRS Research Map | TGRS