The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917850414841856 |
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| author | Rezvyakova, I. S. |
| author_facet | Rezvyakova, I. S. |
| contents | It is proved that the Epstein zeta-function corresponding to a binary positive definite quadratic form with integer coefficients has a positive proportion of its non-trivial zeros on the critical line. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_18492 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Rezvyakova, I. S. Number Theory 11M26, 11M41 It is proved that the Epstein zeta-function corresponding to a binary positive definite quadratic form with integer coefficients has a positive proportion of its non-trivial zeros on the critical line. |
| title | The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line |
| topic | Number Theory 11M26, 11M41 |
| url | https://arxiv.org/abs/2411.18492 |