dc.citation.endPage |
1193 |
- |
dc.citation.number |
4 |
- |
dc.citation.startPage |
1179 |
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dc.citation.title |
QUARTERLY JOURNAL OF MATHEMATICS |
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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. |
- |
dc.date.accessioned |
2023-12-22T01:47:16Z |
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dc.date.available |
2023-12-22T01:47:16Z |
- |
dc.date.created |
2016-06-27 |
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dc.date.issued |
2014-12 |
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dc.description.abstract |
For a family of G-fields K, we show an effective prime ideal theorem with probability 1. Namely, outside a density zero set, pi(x, K)=Li(x)+O(x/(log x)(2)) for xa parts per thousand yen(log d(K))(c) for some c depending on G. Using the effective prime ideal theorem, we show that the exponents e(K) of the ideal class groups of a family of G-fields increase along with d(K) with probability 1 |
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dc.identifier.bibliographicCitation |
QUARTERLY JOURNAL OF MATHEMATICS, v.65, no.4, pp.1179 - 1193 |
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dc.identifier.doi |
10.1093/qmath/hau002 |
- |
dc.identifier.issn |
0033-5606 |
- |
dc.identifier.scopusid |
2-s2.0-84928722585 |
- |
dc.identifier.uri |
https://scholarworks.unist.ac.kr/handle/201301/19819 |
- |
dc.identifier.url |
http://qjmath.oxfordjournals.org/content/65/4/1179 |
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dc.identifier.wosid |
000345842300005 |
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dc.language |
영어 |
- |
dc.publisher |
OXFORD UNIV PRESS |
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dc.title |
EFFECTIVE PRIME IDEAL THEOREM AND EXPONENTS OF IDEAL CLASS GROUPS |
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dc.type |
Article |
- |
dc.description.isOpenAccess |
FALSE |
- |
dc.description.journalRegisteredClass |
scie |
- |
dc.description.journalRegisteredClass |
scopus |
- |