节点文献

Subgroups of ideal class groups of real quadratic algebraic function fields

推荐 CAJ下载
PDF下载
不支持迅雷等下载工具，请取消加速工具后下载。

【Author】 WANG Kunpeng & ZHANG XiankeDepartment of Mathematical Sciences, Tsinghua University, Beijing 100084, China;State Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, Beijing 100039, China

【机构】 Department of Mathematical Sciences,Tsinghua University,Department of Mathematical Sciences,Tsinghua University Beijing 100084,China； State Key Laboratory of Information Security.Graduate School of Chinese Academy of Sciences,Beijing 100039,China,Beijing 100084,China；

【摘要】 <正> Necessary and sufficient condition on real quadratic algebraic function fields K is given for their ideal class groups H(K) to contain cyclic subgroups of order n. And eight series of such real quadratic function fields K are obtained whose ideal class groups contain cyclic subgroups of order n. In particular, the ideal class numbers of these function fields are divisible by n.更多还原

【Abstract】 Necessary and sufficient condition on real quadratic algebraic function fields K is given for their ideal class groups H(K) to contain cyclic subgroups of order n. And eight series of such real quadratic function fields K are obtained whose ideal class groups contain cyclic subgroups of order n. In particular, the ideal class numbers of these function fields are divisible by n.更多还原

【关键词】 algebraic function field； quadratic function field； ideal class group； ideal class number； continued fraction of function.；
【Key words】 algebraic function field； quadratic function field； ideal class group； ideal class number； continued fraction of function.；

【基金】 This work was supported by the National Natural Science Foundation of China(Grant No.10071041).

【文献出处】 Science in China,Ser.A ,中国科学A辑(英文版) , 编辑部邮箱 ,2003年03期

【分类号】O152
【被引频次】2
【下载频次】34

知网节下载

节点文献中：

本文链接的文献网络图示:

本文的引文网络

节点文献