dc.citation.endPage |
1216 |
- |
dc.citation.number |
6 |
- |
dc.citation.startPage |
1201 |
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dc.citation.title |
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES |
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dc.citation.volume |
65 |
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dc.contributor.author |
Cho, Peter J. |
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dc.contributor.author |
Kim, Henry H. |
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dc.date.accessioned |
2023-12-22T03:10:31Z |
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dc.date.available |
2023-12-22T03:10:31Z |
- |
dc.date.created |
2016-06-27 |
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dc.date.issued |
2013-12 |
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dc.description.abstract |
We construct unconditionally several families of number fields with the largest possible class numbers. They are number fields of degree 4 and 5 whose Galois closures have the Galois group A(4) S-4, and S-5. We first construct families of number fields with smallest regulators, and by using the strong Artin conjecture and applying the zero density result of Kowalski-Michel, we choose subfamilies of L-functions that are zero-free close to 1. For these subfamilies, the L-functions have the extremal value at s = 1, and by the class number formula, we obtain the extreme class numbers |
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dc.identifier.bibliographicCitation |
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, v.65, no.6, pp.1201 - 1216 |
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dc.identifier.doi |
10.4153/CJM-2012-031-3 |
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dc.identifier.issn |
0008-414X |
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dc.identifier.scopusid |
2-s2.0-84883435821 |
- |
dc.identifier.uri |
https://scholarworks.unist.ac.kr/handle/201301/19824 |
- |
dc.identifier.url |
http://cms.math.ca/10.4153/CJM-2012-031-3 |
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dc.identifier.wosid |
000327172200001 |
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dc.language |
영어 |
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dc.publisher |
CANADIAN MATHEMATICAL SOC |
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dc.title |
Application of the Strong Artin Conjecture to the Class Number Problem |
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dc.type |
Article |
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dc.description.isOpenAccess |
FALSE |
- |
dc.description.journalRegisteredClass |
scie |
- |
dc.description.journalRegisteredClass |
scopus |
- |