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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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) Jg. 222; H. 6; S. 797 - 818
1. Verfasser: Trigub, Roal′d M.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York Springer US 02.05.2017
Springer
Springer Nature B.V
Schlagworte:
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
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Beschreibung
Zusammenfassung: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 integer coefficients polynomial, Minkowski theorem for convex bodies, power of an algebraic number, Eisenstein criterion, asymptotic law of distribution of prime numbers, approximation of functions by polynomial with integer coefficients polynomials and polynomials with natural coefficients, the best approximation of a constant.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-017-3333-4