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The distribution of the resultants of products of integer polynomials. (Russian. English summary) Zbl 06963939
Summary: There are solved three problems on the distribution of values of the resultants of integer polynomials, which are products of polynomials of first and second degree. We use the methods of metric theory of Diophantine approximation for the construction of sequences of badly approximated points.
MSC:
11C Polynomials and matrices
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Full Text: MNR
References:
[1] [1] Van Der Warden B. L., Algebra, Springer-Verlag, Berlin–Heilderberg, 1971
[2] [2] Sprinzhuk V. G., Problema Malera v teorii chisel, Minsk, 1967
[3] [3] Bernik V. I., Goetze F., Kukso O. S., “Bad-approximable points and distribution of discriminants of the product of linear integer polynomials”, Acta Arithm., 2007, no. 8, 140–147 · Zbl 1236.11065
[4] [4] Keipers L., Niderreiter G., Uniform distribution of sequences, Pure and Applied Mathematics, Wiley-Interscience, New York–London–Sydney, 1974
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