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- Cho, Peter J.
- Lab for L-functions and arithmetic
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| DC Field | Value | Language |
|---|---|---|
| dc.citation.endPage | 4187 | - |
| dc.citation.number | 12 | - |
| dc.citation.startPage | 4175 | - |
| dc.citation.title | JOURNAL OF NUMBER THEORY | - |
| dc.citation.volume | 133 | - |
| dc.contributor.author | Cho, Peter J. | - |
| dc.contributor.author | Kim, Henry H. | - |
| dc.date.accessioned | 2023-12-22T03:10:30Z | - |
| dc.date.available | 2023-12-22T03:10:30Z | - |
| dc.date.created | 2016-06-27 | - |
| dc.date.issued | 2013-12 | - |
| 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 | - |
| dc.identifier.bibliographicCitation | JOURNAL OF NUMBER THEORY, v.133, no.12, pp.4175 - 4187 | - |
| dc.identifier.doi | 10.1016/j.jnt.2013.06.009 | - |
| 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 | - |
| dc.identifier.wosid | 000325042900008 | - |
| dc.language | 영어 | - |
| dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
| dc.title | Probabilistic properties of number fields | - |
| dc.type | Article | - |
| dc.description.isOpenAccess | FALSE | - |
| dc.description.journalRegisteredClass | scie | - |
| dc.description.journalRegisteredClass | scopus | - |
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