Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 이윤진 | * |
dc.date.accessioned | 2019-10-29T16:30:38Z | - |
dc.date.available | 2019-10-29T16:30:38Z | - |
dc.date.issued | 2020 | * |
dc.identifier.issn | 0022-314X | * |
dc.identifier.other | OAK-25492 | * |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/251698 | - |
dc.description.abstract | We find both a lower bound and an upper bound on the p-rank of the divisor class group of the fth cyclotomic function field k(Λf) and the Jacobian of k(Λf)F¯q, where f is an irreducible polynomial in the rational function field k=Fq(t) and Fq is the finite field of order q with characteristic p. Moreover, we find two types of infinite families of irregular primes f for which the divisor class numbers of the maximal real cyclotomic function fields k(Λf)+ with conductor f are divisible by N. For the first family of irregular primes, N is equal to pp(p−1), a power of a prime, and for the second family of irregular primes, N is a composite number (pℓ)5 for a prime ℓ different from a prime p. Furthermore, in the former case, the divisor class group of k(Λf)+ has p-rank at least p(p−1). © 2018 | * |
dc.language | English | * |
dc.publisher | Academic Press Inc. | * |
dc.subject | Function field | * |
dc.subject | Irregular prime | * |
dc.subject | Regulator | * |
dc.subject | Sextic extension | * |
dc.title | Infinite families of irregular primes in cyclotomic function fields | * |
dc.type | Article | * |
dc.relation.volume | 207 | * |
dc.relation.index | SCIE | * |
dc.relation.index | SCOPUS | * |
dc.relation.startpage | 1 | * |
dc.relation.lastpage | 21 | * |
dc.relation.journaltitle | Journal of Number Theory | * |
dc.identifier.doi | 10.1016/j.jnt.2018.09.008 | * |
dc.identifier.wosid | WOS:000492451200001 | * |
dc.identifier.scopusid | 2-s2.0-85071477562 | * |
dc.author.google | Lee J. | * |
dc.author.google | Lee Y. | * |
dc.contributor.scopusid | 이윤진(23100337700) | * |
dc.date.modifydate | 20240123113558 | * |