Congruence formulae modulo powers of 2 for class numbers of cyclic quartic fields | |
Ma LianRong ; Li Wei ; Zhang XianKe | |
2010-10-12 ; 2010-10-12 | |
关键词 | class number regulator unit group character p-adic L-function conductor Mathematics, Applied Mathematics |
中文摘要 | Let K = k(root theta) be a real cyclic quartic field, k be its quadratic subfield and (K) over tilde = k(root-theta) be the corresponding imaginary quartic field. Denote the class numbers of K, k and (K) over tilde by h(K), h(k) and h((K) over tilde) respectively. Here congruences modulo powers of 2 for h(-) = h(K)/h(k) and (h) over tilde (-) = h((K) over tilde)/h(k) are obtained via studying the p-adic L-functions |
语种 | 英语 ; 英语 |
出版者 | SCIENCE PRESS ; BEIJING ; 16 DONGHUANGCHENGGEN NORTH ST, BEIJING 100717, PEOPLES R CHINA |
内容类型 | 期刊论文 |
源URL | [http://hdl.handle.net/123456789/81180] |
专题 | 清华大学 |
推荐引用方式 GB/T 7714 | Ma LianRong,Li Wei,Zhang XianKe. Congruence formulae modulo powers of 2 for class numbers of cyclic quartic fields[J],2010, 2010. |
APA | Ma LianRong,Li Wei,&Zhang XianKe.(2010).Congruence formulae modulo powers of 2 for class numbers of cyclic quartic fields.. |
MLA | Ma LianRong,et al."Congruence formulae modulo powers of 2 for class numbers of cyclic quartic fields".(2010). |
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