Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 이윤진 | * |
dc.contributor.author | 이정연 | * |
dc.date.accessioned | 2017-07-04T01:07:32Z | - |
dc.date.available | 2017-07-04T01:07:32Z | - |
dc.date.issued | 2017 | * |
dc.identifier.issn | 0008-414X | * |
dc.identifier.other | OAK-20819 | * |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/235404 | - |
dc.description.abstract | We explicitly find regulators of an infinite family {Lm} of the simplest quartic function fields with a parameter m in a polynomial ring Fq [t], where Fq is the finite field of order q with odd characteristic. In fact, this infinite family of the simplest quartic function fields are subfields of maximal real subfields of cyclotomic function fields having the same conductors. We obtain a lower bound on the class numbers of the family {Lm } and some result on the divisibility of the divisor class numbers of cyclotomic function fields that contain {Lm} as their subfields. Furthermore, we find an explicit criterion for the characterization of splitting types of all the primes of the rational function field Fq(t) in {Lm}. © Canadian Mathematical Society 2016. | * |
dc.language | English | * |
dc.publisher | Canadian Mathematical Society | * |
dc.subject | Class number | * |
dc.subject | Function field | * |
dc.subject | Quartic extension | * |
dc.subject | Regulator | * |
dc.title | Regulators of an infinite family of the simplest quartic function fields | * |
dc.type | Article | * |
dc.relation.issue | 3 | * |
dc.relation.volume | 69 | * |
dc.relation.index | SCIE | * |
dc.relation.index | SCOPUS | * |
dc.relation.startpage | 579 | * |
dc.relation.lastpage | 594 | * |
dc.relation.journaltitle | Canadian Journal of Mathematics | * |
dc.identifier.doi | 10.4153/CJM-2016-038-2 | * |
dc.identifier.wosid | WOS:000402226500005 | * |
dc.identifier.scopusid | 2-s2.0-85021129833 | * |
dc.author.google | Lee J. | * |
dc.author.google | Lee Y. | * |
dc.contributor.scopusid | 이윤진(23100337700) | * |
dc.contributor.scopusid | 이정연(23667995100) | * |
dc.date.modifydate | 20240123113558 | * |