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Lv Chang; Deng Yingpu
Source Publicationsciencechinamathematics
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.
Document Type期刊论文
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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