On the Triviality of Solutions of a Salem-Type Integral Equation and Its Connection with the Riemann Hypothesis
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arXiv
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| Format: | Preprint |
| Published: |
2016
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| _version_ | 1866909028505878528 |
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| author | Davlatov, Shokir |
| author_facet | Davlatov, Shokir |
| contents | In this paper we prove the Riemann Hypothesis. More precisely, we study a Salem-type linear Fredholm integral equation of the first kind with symmetric kernel and prove that, in the class of bounded and measurable functions, this equation admits only the trivial solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1603_09665 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | On the Triviality of Solutions of a Salem-Type Integral Equation and Its Connection with the Riemann Hypothesis Davlatov, Shokir General Mathematics In this paper we prove the Riemann Hypothesis. More precisely, we study a Salem-type linear Fredholm integral equation of the first kind with symmetric kernel and prove that, in the class of bounded and measurable functions, this equation admits only the trivial solution. |
| title | On the Triviality of Solutions of a Salem-Type Integral Equation and Its Connection with the Riemann Hypothesis |
| topic | General Mathematics |
| url | https://arxiv.org/abs/1603.09665 |