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On the number of integral polynomials of given degree and bounded height with small value of derivative at root of polynomial. (Russian. English summary) Zbl 1433.11089

Summary: In the article upper estimates are obtained for the number of integral polynomials of arbitrarily degree and bounded height with small values of derivatives at the root of polynomials. The main result improves the currently known ones. They are obtained using the methods of the metric theory of transcendental numbers.

MSC:

11J83 Metric theory
11J68 Approximation to algebraic numbers
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References:

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