onordersinnumberfieldspicardgroupsringclassfieldsandapplications

	onordersinnumberfieldspicardgroupsringclassfieldsandapplications
	Lv Chang; Deng Yingpu
刊名	sciencechinamathematics
	2015
卷号	58 期号:8 页码:1627
ISSN号	1674-7283
英文摘要	We focus on orders in arbitrary number fields, consider their Picard groups and finally obtain ring class fields corresponding to them. The Galois group of the ring class field is isomorphic to the Picard group.As an application, we give criteria of the integral solvability of the diophantine equation p = x~2+ ny~2 over a class of imaginary quadratic fields where p is a prime element.
语种	英语
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/48403]
专题	系统科学研究所
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Lv Chang,Deng Yingpu. onordersinnumberfieldspicardgroupsringclassfieldsandapplications[J]. sciencechinamathematics,2015,58(8):1627.
APA	Lv Chang,&Deng Yingpu.(2015).onordersinnumberfieldspicardgroupsringclassfieldsandapplications.sciencechinamathematics,58(8),1627.
MLA	Lv Chang,et al."onordersinnumberfieldspicardgroupsringclassfieldsandapplications".sciencechinamathematics 58.8(2015):1627.