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Matematicheskie Zametki, 2019, Volume 105, Issue 2, Pages 302–312
DOI: https://doi.org/10.4213/mzm11869 (Mi mzm11869) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Chebyshev Polynomials and Integer Coefficients

R. M. Trigub

Sumy State University
Full-text PDF (480 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm11869
Abstract: Generalized Chebyshev polynomials are introduced and studied in this paper. They are applied to obtain a lower bound for the $\sup$-norm on the closed interval for nonzero polynomials with integer coefficients of arbitrary degree.
Keywords: extremal properties of polynomials, Hilbert–Fekete theorem, integer algebraic numbers, asymptotic law of the distribution of primes, Eisenstein criterion for the irreducibility of polynomials.
Received: 28.11.2017
Revised: 29.05.2018
English version:
Mathematical Notes, 2019, Volume 105, Issue 2, Pages 291–300
DOI: https://doi.org/10.1134/S0001434619010322
Bibliographic databases:
Document Type: Article
UDC: 517.5+511.2+512.622.63
Language: Russian
Citation: R. M. Trigub, “Chebyshev Polynomials and Integer Coefficients”, Mat. Zametki, 105:2 (2019), 302–312; Math. Notes, 105:2 (2019), 291–300
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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