# 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} }

- Published 1983
DOI:10.1007/978-1-4757-9284-3_4

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

#### Citations

##### Publications citing this paper.

SHOWING 1-10 OF 12 CITATIONS

## DISTRIBUTION OF PRIMES AND A WEIGHTED ENERGY PROBLEM �

VIEW 11 EXCERPTS

CITES BACKGROUND & METHODS

HIGHLY INFLUENCED

## The Gelfond-Schnirelman method in prime number theory

VIEW 6 EXCERPTS

CITES BACKGROUND & METHODS

HIGHLY INFLUENCED

## The Multivariate Integer Chebyshev Problem

VIEW 2 EXCERPTS

CITES BACKGROUND

## The monic integer transfinite diameter

VIEW 1 EXCERPT

CITES BACKGROUND

## Monic integer Chebyshev problem

VIEW 2 EXCERPTS

CITES BACKGROUND

## Small polynomials with integer coefficients

VIEW 2 EXCERPTS

CITES BACKGROUND

## The integer Chebyshev problem

VIEW 2 EXCERPTS

CITES BACKGROUND