Polynomials with integer coefficients and Chebyshev polynomials

The paper is devoted to the popularization of one of the topics at the border between analysis and number theory that is related to polynomial with integer coefficients. Keywords. Extreme properties of polynomials, transfinite diameter, basic theorem for symmetric polynomials, polynomial with intege...

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Bibliographic Details

Published in:	Journal of mathematical sciences (New York, N.Y.) Vol. 222; no. 6; pp. 797 - 818
Main Author:	Trigub, Roal′d M.
Format:	Journal Article
Language:	English
Published:	New York Springer US 02.05.2017 Springer Springer Nature B.V
Subjects:	Chebyshev approximation Mathematics Mathematics and Statistics Number theory Polynomials Minkowski theorem for convex bodies polynomial with integer coefficients polynomial asymptotic law of distribution of prime numbers power of an algebraic number transfinite diameter basic theorem for symmetric polynomials approximation of functions by polynomial with integer coefficients polynomials and polynomials with natural coefficients Eisenstein criterion the best approximation of a constant Extreme properties of polynomials
ISSN:	1072-3374, 1573-8795
Online Access:	Get full text
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