“对几个猜测的回答”的质疑

• 作 者: 张树胜
• 机 构: 山东省龙口市龙口经济开发区孙家学校,
• 出 处: 中小学数学(初中版)
• 发表日期: 2013年11期
• 关键词: 中小学数学 代数数 钻研精神 超越数 王教授 王世强 对称多项式 平方数

《中小学数学》初中版2012年第5期刊登了北师大王世强教授的文章:对几个猜测的回答.笔者对王教授的钻研精神深表敬佩,但细细分析发现,该文的结论值得质疑.王教授证明了,n~(1/2)+(n+1)~(1/2)+(n+2)~(1/2)+(n+3)~(1/2)、n~(1/3)+(n+1)~(1/3)、n~(1/3)+(n+1)~(1/3)+(n+2)~(1/3)等为超越数,本文予以否定.实际上,这些数都是代数数..在代数数理论中有下面的定理:两个代数数的和是代数数.证明:设α和β是代数数,它们分别是有理系数

“Primary and secondary mathematics” junior high school edition in 2012 fifth issue of the Beijing Normal University Professor Wang Shiqiang article: a few guesses of the answer.The author admires Professor Wang’s delighted spirit, but careful analysis found that the conclusion of the article It is worth to be questioned. Professor Wang proved that n ~ (1/2) + (n + 1) ~ (1/2) + (n + 2) ~ (1/2) + (n + 3) ~ (1/3) + (n + 1) ~ (1/3), n ~ (1/3) + (n + 1) ~ (1/3) + (n + 2) / 3) as the transcendental number, this article denies .In fact, these numbers are algebraic numbers. In the theory of algebraic numbers, there is the following theorem: the sum of two algebraic numbers is an algebraic number. Proof: Let α and β be Algebraic numbers, which are rational coefficients respectively