onordersinnumberfieldspicardgroupsringclassfieldsandapplications

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	onordersinnumberfieldspicardgroupsringclassfieldsandapplications
	Lv Chang; Deng Yingpu
	2015-01-01
发表期刊	sciencechinamathematics
ISSN	1674-7283
卷号	58 期号:8 页码:1627
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
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/48404
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.