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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Vydáno v:Journal of mathematical sciences (New York, N.Y.) Ročník 222; číslo 6; s. 797 - 818
Hlavní autor: Trigub, Roal′d M.
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York Springer US 02.05.2017
Springer
Springer Nature B.V
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ISSN:1072-3374, 1573-8795
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-017-3333-4