Schoenberg's Theory of Totally Positive Functions and the Riemann Zeta Function
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
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| _version_ | 1866914802817826816 |
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| author | Gröchenig, Karlheinz |
| author_facet | Gröchenig, Karlheinz |
| contents | We review Schoenberg's characterization of totally positive functions and its connection to the Laguerre-Polya class. This characterization yields a new condition that is equivalent to the truth of the Riemann hypothesis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2007_12889 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Schoenberg's Theory of Totally Positive Functions and the Riemann Zeta Function Gröchenig, Karlheinz Number Theory Complex Variables We review Schoenberg's characterization of totally positive functions and its connection to the Laguerre-Polya class. This characterization yields a new condition that is equivalent to the truth of the Riemann hypothesis. |
| title | Schoenberg's Theory of Totally Positive Functions and the Riemann Zeta Function |
| topic | Number Theory Complex Variables |
| url | https://arxiv.org/abs/2007.12889 |