dc.citation.endPage |
4187 |
- |
dc.citation.number |
12 |
- |
dc.citation.startPage |
4175 |
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dc.citation.title |
JOURNAL OF NUMBER THEORY |
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dc.citation.volume |
133 |
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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 |
2023-12-22T03:10:30Z |
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dc.date.available |
2023-12-22T03:10:30Z |
- |
dc.date.created |
2016-06-27 |
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dc.date.issued |
2013-12 |
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dc.description.abstract |
In general a bound on number theoretic invariants under the Generalized Riemann Hypothesis (GRH) for the Dedekind zeta function of a number field K is much stronger than an unconditional one. In this article, we consider three invariants; the residue of zeta(K)(s) at s = 1, the logarithmic derivative of Artin L-function attached to K at s = 1, and the smallest prime which does not split completely in K. We obtain bounds on them just as good as the bounds under GRH except for a density zero set of number fields. (C) 2013 Elsevier Inc. All rights reserved |
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dc.identifier.bibliographicCitation |
JOURNAL OF NUMBER THEORY, v.133, no.12, pp.4175 - 4187 |
- |
dc.identifier.doi |
10.1016/j.jnt.2013.06.009 |
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dc.identifier.issn |
0022-314X |
- |
dc.identifier.scopusid |
2-s2.0-84883318317 |
- |
dc.identifier.uri |
https://scholarworks.unist.ac.kr/handle/201301/19823 |
- |
dc.identifier.url |
http://www.sciencedirect.com/science/article/pii/S0022314X13001856 |
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dc.identifier.wosid |
000325042900008 |
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dc.language |
영어 |
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dc.publisher |
ACADEMIC PRESS INC ELSEVIER SCIENCE |
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dc.title |
Probabilistic properties of number fields |
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dc.type |
Article |
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dc.description.isOpenAccess |
FALSE |
- |
dc.description.journalRegisteredClass |
scie |
- |
dc.description.journalRegisteredClass |
scopus |
- |