论文标题
Chebyshev多项式的根:纯粹的代数方法
Roots of Chebyshev Polynomials: a purely algebraic approach
论文作者
论文摘要
通过使用纯粹的代数工具,我们建立了Chebyshev多项式根的众所周知的特性。尤其是,我们表明这些零很简单,含有$(1,1)$,我们通过两种方式证明它们大多是不合理的。
By using purely algebraic tools, we establish well-known properties of roots of Chebyshev polynomials. Especially, we show that these zeros are simple and lie in $(-1,1)$ and we prove in two ways that they are mostly irrational.