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arXiv · 2509.17626

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

Jan Moser
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Abstract

In this paper we obtain new functionals and corresponding $\zeta$-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 $Z'(t)=0$.

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Jan Moser. 2025-09-22. Jacob's ladders, our asymptotic formulae (1981) connected with the equation $Z'(t)=0$ as a base for new $\zeta$-equivalents of the Fermat-Wiles theorem and some other results. https://arxiv.org/abs/2509.17626

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