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Cho, Peter J.
Lab for L-functions and arithmetic
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dc.citation.endPage 1193 -
dc.citation.number 4 -
dc.citation.startPage 1179 -
dc.citation.title QUARTERLY JOURNAL OF MATHEMATICS -
dc.citation.volume 65 -
dc.contributor.author Cho, Peter J. -
dc.contributor.author Kim, Henry H. -
dc.date.accessioned 2023-12-22T01:47:16Z -
dc.date.available 2023-12-22T01:47:16Z -
dc.date.created 2016-06-27 -
dc.date.issued 2014-12 -
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 -
dc.identifier.bibliographicCitation QUARTERLY JOURNAL OF MATHEMATICS, v.65, no.4, pp.1179 - 1193 -
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 -
dc.identifier.wosid 000345842300005 -
dc.language 영어 -
dc.publisher OXFORD UNIV PRESS -
dc.title EFFECTIVE PRIME IDEAL THEOREM AND EXPONENTS OF IDEAL CLASS GROUPS -
dc.type Article -
dc.description.isOpenAccess FALSE -
dc.description.journalRegisteredClass scie -
dc.description.journalRegisteredClass scopus -

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