Upper bound and formula for class numbers of abelian function fields | |
Ma, LR ; Zhang, XK | |
2010-05-06 ; 2010-05-06 | |
关键词 | Carlitz module cyclotomic function field class number character abelian function field RELATIVE CLASS NUMBER STICKELBERGER IDEALS Multidisciplinary Sciences |
中文摘要 | For any abelian function field K (i.e. any subfield of a cyclotomic function field L = k (Lambda(P)) over the rational function field k) with conductor being an irreducible polynomial over a finite field of odd characteristic, by studying the Carlitz-module structure and the character group of K, an explicit upper bound and a calculating formula of the relative divisor class number h(-) (K) of K are given. Our calculated results of K develop Rosen's recent results of L. |
语种 | 英语 ; 英语 |
出版者 | TAYLOR & FRANCIS LTD ; ABINGDON ; 4 PARK SQUARE, MILTON PARK, ABINGDON OX14 4RN, OXON, ENGLAND |
内容类型 | 期刊论文 |
源URL | [http://hdl.handle.net/123456789/13734] ![]() |
专题 | 清华大学 |
推荐引用方式 GB/T 7714 | Ma, LR,Zhang, XK. Upper bound and formula for class numbers of abelian function fields[J],2010, 2010. |
APA | Ma, LR,&Zhang, XK.(2010).Upper bound and formula for class numbers of abelian function fields.. |
MLA | Ma, LR,et al."Upper bound and formula for class numbers of abelian function fields".(2010). |
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