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| Main Author: | |
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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2003.00581 |
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| _version_ | 1866910371864903680 |
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| author | Patkowski, Alexander E |
| author_facet | Patkowski, Alexander E |
| contents | We extend Salem's Integral equation to the non-homogenous form, and offer the associated criteria for the Riemann Hypothesis. Explicit solutions for the non-homogenous case are given, which in turn give further insight into Salem's criteria for the RH. As a conclusion, we show these results follow from a corollary relating the uniqueness of solutions of the non-homogenous form with Wiener's theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2003_00581 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | On Salem's Integral Equation and related criteria Patkowski, Alexander E Number Theory We extend Salem's Integral equation to the non-homogenous form, and offer the associated criteria for the Riemann Hypothesis. Explicit solutions for the non-homogenous case are given, which in turn give further insight into Salem's criteria for the RH. As a conclusion, we show these results follow from a corollary relating the uniqueness of solutions of the non-homogenous form with Wiener's theorem. |
| title | On Salem's Integral Equation and related criteria |
| topic | Number Theory |
| url | https://arxiv.org/abs/2003.00581 |