Class numbers of some abelian extensions of rational function fields
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Bae, Sung-Han | ko |
| dc.contributor.author | Jung, HY | ko |
| dc.contributor.author | Ahn, JY | ko |
| dc.date.accessioned | 2013-03-04T13:26:34Z | - |
| dc.date.available | 2013-03-04T13:26:34Z | - |
| dc.date.created | 2012-02-06 | - |
| dc.date.created | 2012-02-06 | - |
| dc.date.issued | 2003 | - |
| dc.identifier.citation | MATHEMATICS OF COMPUTATION, v.73, no.245, pp.377 - 386 | - |
| dc.identifier.issn | 0025-5718 | - |
| dc.identifier.uri | http://hdl.handle.net/10203/82777 | - |
| dc.description.abstract | Let P be a monic irreducible polynomial. In this paper we generalize the determinant formula for h(K-Pn(+)) of Bae and Kang and the formula for h(-) (K-Pn) of Jung and Ahn to any subfields K of the cyclotomic function field K-Pn: By using these formulas, we calculate the class numbers h(-) (K), h(K+) of all subfields K of K-P when q and deg(P) are small. | - |
| dc.language | English | - |
| dc.publisher | AMER MATHEMATICAL SOC | - |
| dc.subject | RELATIVE CLASS NUMBER | - |
| dc.subject | CYCLOTOMIC FUNCTION-FIELDS | - |
| dc.title | Class numbers of some abelian extensions of rational function fields | - |
| dc.type | Article | - |
| dc.identifier.wosid | 000185850600021 | - |
| dc.identifier.scopusid | 2-s2.0-0942268041 | - |
| dc.type.rims | ART | - |
| dc.citation.volume | 73 | - |
| dc.citation.issue | 245 | - |
| dc.citation.beginningpage | 377 | - |
| dc.citation.endingpage | 386 | - |
| dc.citation.publicationname | MATHEMATICS OF COMPUTATION | - |
| dc.identifier.doi | 10.1090/S0025-5718-03-01528-X | - |
| dc.contributor.localauthor | Bae, Sung-Han | - |
| dc.contributor.nonIdAuthor | Jung, HY | - |
| dc.contributor.nonIdAuthor | Ahn, JY | - |
| dc.type.journalArticle | Article | - |
| dc.subject.keywordAuthor | class number | - |
| dc.subject.keywordAuthor | function field | - |
| dc.subject.keywordPlus | RELATIVE CLASS NUMBER | - |
| dc.subject.keywordPlus | CYCLOTOMIC FUNCTION-FIELDS | - |
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