p^k元域及其单超越扩域上的二项方程三项方程和因式方程  

The Binomial Equations and Three-term Equations and Factor Equations Over the Field of pk Elements and Its Simple Transcendental Extension Field

作　　者：孙宗明[1] 

机构地区：[1]泰山学院数学系,山东泰安271000

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2011年第6期541-546,共6页Journal of Inner Mongolia Normal University(Natural Science Edition)

摘　　要：设F是pk元域,E是F的单超越扩域.综述了F与E上的二项方程、三项方程和因式方程,给出了方程在F与E中有根或没有根的条件,若方程有根,则给出根的个数与根的求法.Let F is the field of p^k elements and E is simple transcendental extension field of the F. In this paper,the author desctibes binomial equations, three-term equations and factor equations over the F and E,and gives the conditions that every equation has roots or has no roots in the F and E. If the equation has roots,then the number of its roots and method to find roots are given. These rusults are applied in combination design.

关 键 词：P^K元域 单超越扩域 二项方程 三项方程 因式方程 方程的根 根的个数 

分 类 号：O153.4[理学—数学]