Affiliation of Author(s):理学院
Journal:数学进展
Key Words:完全分解;二项式;三项式;有限域;
Abstract:设F_q为一个阶为q的有限域,其中q为奇素数的幂.本文主要利用多项式分解相关理论得到几类多项式的完全分解,给出了当N=2~mp~n时x~N±a∈F_q[x]在F_q上的完全分解,其中m,n均为正整数,p为q-1的素因子,且p≠2.结果表明当a取作F_q中元素β的某些特殊方幂时,x~N±a在F_q上不可约因式都是二项式或三项式.
Translation or Not:no
Date of Publication:2018-03-15
Co-author:王玉琨
Correspondence Author:cxw
Professor
Supervisor of Doctorate Candidates
Gender:Male
Education Level:北京大学
Degree:Doctoral Degree in Science
School/Department:College of Science
Discipline:Basic Mathematics. Applied Mathematics. Mathematics
Contact Information:http://faculty.nuaa.edu.cn/cxw1/zh_CN/index.htm
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