| Calculating formula and divisibility for relative class numbers of abelian function fields | |
| Zhao, Yusheng ; Ma, Lianrong ; Zhang, Xianke | |
| 2010-10-12 ; 2010-10-12 ; OCT | |
| 关键词 | Carlitz-module Cyclotomic function field Class number Character Mathematics |
| 中文摘要 | In this paper abelian function fields are restricted to the subfields of cyclotomic function fields. For any abelian function field K/k with conductor an irreducible polynomial over a finite field of odd characteristic, we give a calculating formula of the relative divisor class number h(K)(-) of K. And using the given calculating formula we obtain a criterion for checking whether or not the relative divisor class number is divisible by the characteristic of k. (c) 2009 Elsevier Inc. All rights reserved. |
| 语种 | 英语 ; 英语 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE ; SAN DIEGO ; 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/81176]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | Zhao, Yusheng,Ma, Lianrong,Zhang, Xianke. Calculating formula and divisibility for relative class numbers of abelian function fields[J],2010, 2010, OCT. |
| APA | Zhao, Yusheng,Ma, Lianrong,&Zhang, Xianke.(2010).Calculating formula and divisibility for relative class numbers of abelian function fields.. |
| MLA | Zhao, Yusheng,et al."Calculating formula and divisibility for relative class numbers of abelian function fields".(2010). |
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