代数数域中的剩余序列  

Sequences of residues in algebraic number fields

作　　者：撒米尔[1] 

机构地区：[1]山东大学数学与科学系统科学学院,山东济南250100

出　　处：《山东大学学报（理学版）》2003年第3期123-124,共2页Journal of Shandong University(Natural Science)

摘　　要：对所有的整数n ,m和一个代数域F定义∧ F(n ,m)为最小正整数 ,满足 ,对几乎所有的素数理想p存在m个相邻n次剩余 (在代数域F中 ) ,且迹小于∧F(n ,m) [F :Q]We define ∧ F(n,m) for all integers n, m and an algebraic number field F to be the least positive number such that almost all prime ideals p there are m Consecutive nth power residues in the algebraic number field F with norm less than ∧ F (n,m) . We prove several theorems based on this definition.

关 键 词：素理想 代数数域 迹 剩余序列 

分 类 号：O156[理学—数学]