8-rank of the class group and isotropy index
文献类型：期刊论文
| 作者 | Lu Qing1,2 |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2015-07-01 |
| 卷号 | 58期号:7页码:1433-1444 |
| 关键词 | imaginary quadratic field class group 8-rank isotropy index Redei matrix |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-014-4898-8 |
| 英文摘要 | Suppose is an imaginary quadratic number field with distinct primes p (1), aEuro broken vertical bar, p (t) , where p (i) a parts per thousand 1 (mod 4) (i = 1, aEuro broken vertical bar, t - 1) and p (t) a parts per thousand 3 (mod 4). We express the possible values of the 8-rank r (8) of the class group of F in terms of a quadratic form Q over which is defined by quartic symbols. In particular, we show that r (8) is bounded by the isotropy index of Q. |
| 语种 | 英语 |
| WOS记录号 | WOS:000355824300004 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19903]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Lu Qing |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Lu Qing. 8-rank of the class group and isotropy index[J]. SCIENCE CHINA-MATHEMATICS,2015,58(7):1433-1444. |
| APA | Lu Qing.(2015).8-rank of the class group and isotropy index.SCIENCE CHINA-MATHEMATICS,58(7),1433-1444. |
| MLA | Lu Qing."8-rank of the class group and isotropy index".SCIENCE CHINA-MATHEMATICS 58.7(2015):1433-1444. |
入库方式： OAI收割
来源：数学与系统科学研究院
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