Jacob's ladders, logarithmic modification of the Hardy-Littlewood integral (1918), Titchmarsh's $Ω$-theorem (1928) and new point of contact with the Fermat-Wiles theorem
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910471977697280 |
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| author | Moser, Jan |
| author_facet | Moser, Jan |
| contents | In this paper we obtain two new points of contact between Jacob's ladders and Fermat-Wiles theorem. They are generated by a logarithmic modification of the Hardy-Littlewood integral. Furthermore, we present a kind of asymptotic laws of conservation for a set of areas connected with above mentioned modification of the Hardy-Littlewood integral. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_02278 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Jacob's ladders, logarithmic modification of the Hardy-Littlewood integral (1918), Titchmarsh's $Ω$-theorem (1928) and new point of contact with the Fermat-Wiles theorem Moser, Jan Number Theory In this paper we obtain two new points of contact between Jacob's ladders and Fermat-Wiles theorem. They are generated by a logarithmic modification of the Hardy-Littlewood integral. Furthermore, we present a kind of asymptotic laws of conservation for a set of areas connected with above mentioned modification of the Hardy-Littlewood integral. |
| title | Jacob's ladders, logarithmic modification of the Hardy-Littlewood integral (1918), Titchmarsh's $Ω$-theorem (1928) and new point of contact with the Fermat-Wiles theorem |
| topic | Number Theory |
| url | https://arxiv.org/abs/2406.02278 |