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关于多项式T_n(x)的整除性的一个问题
ON A PROBLEM CONCERNING DIVISIBILITY OF POLYNOMIALS T_n(x)
【摘要】 设n是适合n≥2的正整数,Tn(x)=(1+x)n+(1-x)n-2n.本文证明了:如果p是素数,则对于任何适合2p>r>3的正整数r,都有Tr(x)T2p(x).
【Abstract】 Let n be a positive integer with n≥2,Further let Tn(x) = (1 + x )n + (1-x)n - 2n. In this paper we prove that if p is a prime, then Tr(x)T2p(x ) for any positive integer n with 2p > r > 3.
【关键词】 整系数多项式;
整除性;
不可约性;
【Key words】 polynomial with integer coefficient; divisbility; irreducibility;
【Key words】 polynomial with integer coefficient; divisbility; irreducibility;
- 【文献出处】 湛江师范学院学报(自然科学版) ,JOURNAL OF ZHANJIANG NORMAL COLLEGE , 编辑部邮箱 ,1998年01期
- 【分类号】O156
- 【下载频次】93