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
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908552348565504 |
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| author | Moser, Jan |
| author_facet | Moser, Jan |
| contents | 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 $Z'(t)=0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_17626 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | 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 Moser, Jan Number Theory 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 $Z'(t)=0$. |
| title | 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 |
| topic | Number Theory |
| url | https://arxiv.org/abs/2509.17626 |