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Roots of Chebyshev Polynomials: a purely algebraic approach - MaRDI portal

Roots of Chebyshev Polynomials: a purely algebraic approach

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Publication:6346732

arXiv2008.03575MaRDI QIDQ6346732

Lionel Ponton

Publication date: 8 August 2020

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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