chebЧебышевский сборникChebyshevskii Sbornik2226-8383Tula State Lev Tolstoy Pedagogical University10.22405/2226-8383-2019-20-2-39-46cheb-593Research ArticleСтатьиArticleТочные оценки для специального класса целочисленных многочленов с заданным дискриминантомExact bounds for the special class of integer polynomials with given discriminantБударинаНатальяBudarinaNatalyabuda77@mail.ru2019200120202023946Copyright © Бударина Н., 20192019Бударина Н.Budarina N.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.chebsbornik.ru/jour/article/view/593

В статье получена верхняя и нижняя оценка для числа целочисленных многочленов,которые имеют только два близких корня и малый дискриминант в терминах Евклидовойметрики.

An upper bound and lower bound for the number of integer polynomials which have only twoclose to each other roots, and small discriminant in terms of the Euclidean metric is obtained.

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The authors declare that there are no conflicts of interest present.