四川大学学报(自然科学版)2003,Vol.40Issue(4):622-625,4.
关于一类数域的子域
ON THE SUBFIELDS OF A CLASS OF NUMBER FIELDS
蒋剑军1
作者信息
- 1. 西南科技大学理学院,四川绵阳,621002
- 折叠
摘要
Abstract
Let p be an odd prime and m, r be positive integers satisfying that m is pr-th powerfree and p|m. The author obtained a lower bound of the number of the subfields of degree pk, where 1≤k≤2r-1, of the splitting field K of the irreducible binomial xpr-m.关键词
Eisenstein 型数域/pk次子域/判别式Key words
algebraic number field of Eisenstein type/subfield of degree pk/discriminant分类
数理科学引用本文复制引用
蒋剑军..关于一类数域的子域[J].四川大学学报(自然科学版),2003,40(4):622-625,4.