Mathematical Notes

, Volume 105, Issue 1–2, pp 291–300 | Cite as

Chebyshev Polynomials and Integer Coefficients

  • R. M. TrigubEmail author


Generalized Chebyshev polynomials are introduced and studied in this paper. They are applied to obtain a lower bound for the sup-norm on the closed interval for nonzero polynomials with integer coefficients of arbitrary degree.


extremal properties of polynomials Hilbert–Fekete theorem integer algebraic numbers asymptotic law of the distribution of primes Eisenstein criterion for the irreducibility of polynomials 


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© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Sumy State UniversitySumyUkraine

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