A COMPLETE DETERMINATION OF THE CUBIC CYCLIC EXTENSION FIELDS OF NUMBER FIELDS

作     者：蓝以中 LAN YI-ZHONG(Department of Mathematics, Peking University)

作者机构：Department of Mathematics Peking University 

出 版 物：《Chinese Science Bulletin》 (Chinese Science Bulletin)

年 卷 期：1989年第34卷第12期

页      面：973-976页

核心收录：

学科分类：07[理学] 08[工学] 

主　　题：number field cubic cyclic extension splitting completely prime ideal. 

摘      要：The fundamental topic of algebraic number theory is to determine all Galois extension fields of a number field. The class field theory determines all Abelian extension fields of a number field on theoretical, but it is not concrete. The author has studied the arithmetic properties of cubic cyclic extensions of number fields in [1, 2]. In this report, we determine all cubic cyclic extension fields of any number field K.