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Jacob's ladders, new equivalent of the Fermat-Wiles theorem generated by certain cross-breed of Ingham and Heath-Brown formula (1979) and some chains of equivalents

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arxiv 2504.00479 v1 pith:K3DV43GP submitted 2025-04-01 math.NT

classification math.NT
keywords equivalentchainsfermat-wilesformulaheath-browninghamkindtheorem
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In this paper we obtain a new equivalent of the Fermat-Wiles theorem based on a kind of cross-bred of Ingham and D. R. Heath-Brown formula. Further, we prove the existence of infinite set of finite chains of a kind of equivalent expressions of mathematical analysis.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Jacob's ladders, $\zeta$-transformation of the Fourier orthogonal system (2014) and new infinite sets of $\zeta$-equivalents of the Fermat-Wiles theorem

    math.NT 2025-07 reject novelty 4.0 of 10

    A zeta-weighted integral limit is shown to equal (x^n+y^n)/z^n exactly, making 'limit not equal 1' a verbatim restatement of Fermat's Last Theorem.

  2. Jacob's ladders, E. C. Titchmarsh's hypothesis (1934) and new $\zeta$-equivalents of the Fermat-Wiles theorem or connections between Fermat's rationals and the Gram's sequence

    math.NT 2025-06 reject novelty 1.0 of 10

    The paper derives zeta-function expressions that equal x for every x>0, then plugs in Fermat rationals, so its "equivalents" of Fermat's Last Theorem are identities rather than new mathematics.

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