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| DC Field | Value | Language |
|---|---|---|
| dc.citation.endPage | 60 | - |
| dc.citation.number | 1 | - |
| dc.citation.startPage | 43 | - |
| dc.citation.title | OSAKA JOURNAL OF MATHEMATICS | - |
| dc.citation.volume | 60 | - |
| dc.contributor.author | Jeong, Keunyoung | - |
| dc.contributor.author | Park, Junyeong | - |
| dc.contributor.author | Yhee, Donggeon | - |
| dc.date.accessioned | 2024-02-15T17:35:14Z | - |
| dc.date.available | 2024-02-15T17:35:14Z | - |
| dc.date.created | 2024-02-15 | - |
| dc.date.issued | 2023-01 | - |
| dc.description.abstract | In this paper, we study the algebraic rank and the analytic rank of the Jacobian of hyperelliptic curves y2 = x5 + m2 for integers m. Namely, we first provide a condition on m that gives a bound of the size of Selmer group and then we provide a condition on m that makes L-functions non-vanishing. As a consequence, we construct a Jacobian that satisfies the rank part of the Birch–Swinnerton-Dyer conjecture. | - |
| dc.identifier.bibliographicCitation | OSAKA JOURNAL OF MATHEMATICS, v.60, no.1, pp.43 - 60 | - |
| dc.identifier.issn | 0030-6126 | - |
| dc.identifier.scopusid | 2-s2.0-85146514874 | - |
| dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/81407 | - |
| dc.identifier.wosid | 000976153500004 | - |
| dc.language | 영어 | - |
| dc.publisher | Osaka Daigaku Shigakkai | - |
| dc.title | ON THE JACOBIAN OF A FAMILY OF HYPERELLIPTIC CURVES | - |
| dc.type | Article | - |
| dc.description.isOpenAccess | FALSE | - |
| dc.type.docType | Article | - |
| dc.description.journalRegisteredClass | scie | - |
| dc.description.journalRegisteredClass | scopus | - |
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