Jacob's ladders, Hardy-Littlewood integral (1918) and new asymptotic functional equations for Euler's Gamma function together with the tenth equivalent of the Fermat-Wiles theorem
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929289291628544 |
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| author | Moser, Jan |
| author_facet | Moser, Jan |
| contents | In this paper new $Γ$-functional is constructed upon the basis of the set of almost linear increments of the Hardy-Littlewood integral. This functional generates a $Γ$-equivalent of the Fermat-Wiles theorem and also new set of factorization formulae for Euler's $Γ$-function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17522 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Jacob's ladders, Hardy-Littlewood integral (1918) and new asymptotic functional equations for Euler's Gamma function together with the tenth equivalent of the Fermat-Wiles theorem Moser, Jan Number Theory Classical Analysis and ODEs In this paper new $Γ$-functional is constructed upon the basis of the set of almost linear increments of the Hardy-Littlewood integral. This functional generates a $Γ$-equivalent of the Fermat-Wiles theorem and also new set of factorization formulae for Euler's $Γ$-function. |
| title | Jacob's ladders, Hardy-Littlewood integral (1918) and new asymptotic functional equations for Euler's Gamma function together with the tenth equivalent of the Fermat-Wiles theorem |
| topic | Number Theory Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2403.17522 |