Numerical study of refined conjectures of the BSD type
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915086588706816 |
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| author | Llerena-Córdova, Juan-Pablo |
| author_facet | Llerena-Córdova, Juan-Pablo |
| contents | In 1987, Mazur and Tate stated conjectures which, in some cases, resemble the classical Birch-Swinnerton-Dyer conjecture and its $p$-adic analog. We study experimentally three conjectures stated by Mazur and Tate using SageMath. Our findings indicate discrepancies in some of the original statements of some of the conjectures presented by Mazur and Tate. However, a slight modification on the statement of these conjectures does appear to hold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_17703 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Numerical study of refined conjectures of the BSD type Llerena-Córdova, Juan-Pablo Number Theory Numerical Analysis 11Y40 (Primary) In 1987, Mazur and Tate stated conjectures which, in some cases, resemble the classical Birch-Swinnerton-Dyer conjecture and its $p$-adic analog. We study experimentally three conjectures stated by Mazur and Tate using SageMath. Our findings indicate discrepancies in some of the original statements of some of the conjectures presented by Mazur and Tate. However, a slight modification on the statement of these conjectures does appear to hold. |
| title | Numerical study of refined conjectures of the BSD type |
| topic | Number Theory Numerical Analysis 11Y40 (Primary) |
| url | https://arxiv.org/abs/2412.17703 |