Jacob's ladders and new equivalents of the Fermat-Wiles theorem connected with some cross-bred of the formulae of Hardy-Littlewood-Ingham (1926) and of Ingham (1926)
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913639034781696 |
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| author | Moser, Jan |
| author_facet | Moser, Jan |
| contents | The main result of this paper is new formula connecting certain $zeta$-integral on the critical line with a $ζ$-integral in the critical strip. Further, a kind of cross-breeding of the Hardy-Littlewood-Ingham formula and Ingham formula produces new $ζ$-equivalent of the Fermat-Wiles theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_03646 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Jacob's ladders and new equivalents of the Fermat-Wiles theorem connected with some cross-bred of the formulae of Hardy-Littlewood-Ingham (1926) and of Ingham (1926) Moser, Jan Number Theory The main result of this paper is new formula connecting certain $zeta$-integral on the critical line with a $ζ$-integral in the critical strip. Further, a kind of cross-breeding of the Hardy-Littlewood-Ingham formula and Ingham formula produces new $ζ$-equivalent of the Fermat-Wiles theorem. |
| title | Jacob's ladders and new equivalents of the Fermat-Wiles theorem connected with some cross-bred of the formulae of Hardy-Littlewood-Ingham (1926) and of Ingham (1926) |
| topic | Number Theory |
| url | https://arxiv.org/abs/2501.03646 |