Number Theoretic Applications of Polynomials with Rational Coefficients Defined by Extremality Conditions

@inproceedings{Chudnovsky1983NumberTA,
  title={Number Theoretic Applications of Polynomials with Rational Coefficients Defined by Extremality Conditions},
  author={G. V. Chudnovsky},
  year={1983}
}
It is well known that classes of polynomials in one variable defined by various extremality conditions play an extremely important role in complex analysis. Among these classes we find orthogonal polynomials (especially classical orthogonal polynomials expressed as hypergeometric polynomials) and polynomials least deviating from zero on a given continuum (Chebicheff polynomials). Orthogonal polynomials of the first and second kind appear as denominators and numerators of the Pade approximations… CONTINUE READING

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