Geodesic
Chebyshev Polynomials and Integer Coefficients
Matematičeskie zametki, Tome 105 (2019) no. 2, pp. 302-312

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{MZM_2019_105_2_a10,
     author = {R. M. Trigub},
     title = {Chebyshev {Polynomials} and {Integer} {Coefficients}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {302--312},
     publisher = {mathdoc},
     volume = {105},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2019_105_2_a10/}
}
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R. M. Trigub. Chebyshev Polynomials and Integer Coefficients. Matematičeskie zametki, Tome 105 (2019) no. 2, pp. 302-312. http://geodesic.mathdoc.fr/item/MZM_2019_105_2_a10/