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onordersinnumberfieldspicardgroupsringclassfieldsandapplications
Lv Chang; Deng Yingpu
2015
Source Publicationsciencechinamathematics
ISSN1674-7283
Volume58Issue:8Pages:1627
AbstractWe 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.
Language英语
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/48404
Collection系统科学研究所
Affiliation中国科学院数学与系统科学研究院
Recommended Citation
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.
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