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- Cho, Peter J.
- Lab for L-functions and arithmetic
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| DC Field | Value | Language |
|---|---|---|
| dc.citation.title | Journal of Number Theory | - |
| dc.contributor.author | Cho, Peter J. | - |
| dc.contributor.author | Oh, Gyeongwon | - |
| dc.date.accessioned | 2025-12-02T13:12:54Z | - |
| dc.date.available | 2025-12-02T13:12:54Z | - |
| dc.date.created | 2025-10-22 | - |
| dc.date.issued | ACCEPT | - |
| dc.description.abstract | Let E be an elliptic curve defined over ℚ. For an odd prime l, we consider the family of degree l cyclic extensions K over ℚ. When we view the elliptic curve E as a curve over K, the analytic rank of the L-function LK(s, E) of E over K may increase compared to that of the L-function Lℚ(s, E) of E over ℚ. Under the generalized Riemann hypothesis, we demonstrate the rarity of significant increases in analytic ranks. | - |
| dc.identifier.bibliographicCitation | Journal of Number Theory | - |
| dc.identifier.doi | 10.1016/j.jnt.2025.09.026 | - |
| dc.identifier.issn | 0022-314X | - |
| dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/88759 | - |
| dc.language | 영어 | - |
| dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
| dc.title | Analytic rank growth of elliptic curves over cyclic extensions | - |
| dc.type | Article | - |
| dc.description.isOpenAccess | FALSE | - |
| dc.type.docType | Article | - |
| dc.description.journalRegisteredClass | scie | - |
| dc.description.journalRegisteredClass | scopus | - |
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