辅助函数范数的上界估计  

AN UPPER BOUND OF NORM ABOUT AUXILIARY FUNCTION

作　　者：胡康秀[1] 

机构地区：[1]武汉大学数学与统计学院,武汉430072

出　　处：《数学杂志》2003年第2期149-152,共4页Journal of Mathematics

摘　　要：Lehmer问题是当今数论中最经典的问题 ,很多数学家均对其进行了研究。其中辅助函数方法是最典型的方法 ,但大家一般是侧重于辅助函数的高 (heiht)的估计。而本文是从辅助函数的‖·‖2 范数的上界估计角度出发为寻求M(α)Lehmer's problem is the most classical problem in number theory to this day. It has been considered through various kinds of ways in which the auxiliary funetion is efficacious. The auxiliary function emphasizes the lower bound for height, but in this article I head for the further lower bounds for the M(α) from the auxiliary function's norm angles.

关 键 词：代数数 Mahler测度 h(α)‖·‖2范数 

分 类 号：O156.6[理学—数学]