Roots of Chebyshev Polynomials: a purely algebraic approach

Lionel Ponton

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arXiv · 2008.03575

Roots of Chebyshev Polynomials: a purely algebraic approach

Lionel Ponton

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Abstract

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.

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Lionel Ponton. 2020-08-08. Roots of Chebyshev Polynomials: a purely algebraic approach. https://arxiv.org/abs/2008.03575

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