AN EXPLICIT UPPER BOUND FOR THE LEAST PRIME IDEAL IN THE CHEBOTAREV DENSITY THEOREM
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ahn, Jeoung-Hwan | - |
dc.contributor.author | Kwon, Soun-Hi | - |
dc.date.accessioned | 2021-09-01T22:42:21Z | - |
dc.date.available | 2021-09-01T22:42:21Z | - |
dc.date.created | 2021-06-19 | - |
dc.date.issued | 2019 | - |
dc.identifier.issn | 0373-0956 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/68898 | - |
dc.description.abstract | Lagarias, Montgomery, and Odlyzko proved that there exists an effectively computable absolute constant A(1)( )such that for every finite extension K of Q, every finite Galois extension L of K with Galois group G and every conjugacy class C of G, there exists a prime ideal p of K which is unramified in L, for which [L/K/p] = C, for which N-K/Q p is a rational prime, and which satisfies N-K/Q p <= 2d(L)(A1). In this paper we show without any restriction that N-K/Q p <= d(L)(12577) if L not equal Q, using the approach developed by Lagarias, Montgomery, and Odlyzko. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ANNALES INST FOURIER | - |
dc.subject | ZERO-FREE REGIONS | - |
dc.subject | DIRICHLET L-FUNCTIONS | - |
dc.subject | QUADRATIC NON-RESIDUE | - |
dc.subject | CONDITIONAL BOUNDS | - |
dc.title | AN EXPLICIT UPPER BOUND FOR THE LEAST PRIME IDEAL IN THE CHEBOTAREV DENSITY THEOREM | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Ahn, Jeoung-Hwan | - |
dc.contributor.affiliatedAuthor | Kwon, Soun-Hi | - |
dc.identifier.doi | 10.5802/aif.3274 | - |
dc.identifier.scopusid | 2-s2.0-85068743240 | - |
dc.identifier.wosid | 000470078500012 | - |
dc.identifier.bibliographicCitation | ANNALES DE L INSTITUT FOURIER, v.69, no.3, pp.1411 - 1458 | - |
dc.relation.isPartOf | ANNALES DE L INSTITUT FOURIER | - |
dc.citation.title | ANNALES DE L INSTITUT FOURIER | - |
dc.citation.volume | 69 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 1411 | - |
dc.citation.endPage | 1458 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | ZERO-FREE REGIONS | - |
dc.subject.keywordPlus | DIRICHLET L-FUNCTIONS | - |
dc.subject.keywordPlus | QUADRATIC NON-RESIDUE | - |
dc.subject.keywordPlus | CONDITIONAL BOUNDS | - |
dc.subject.keywordAuthor | The Chebotarev density theorem | - |
dc.subject.keywordAuthor | Dedekind zeta functions | - |
dc.subject.keywordAuthor | the Deuring-Heilbronn phenomenon | - |
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