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Chebyshevskii Sbornik, 2019, Volume 20, Issue 2, Pages 39–46
DOI: https://doi.org/10.22405/2226-8383-2018-20-2-39-46 (Mi cheb751) 		 
Exact bounds for the special class of integer polynomials with given discriminant

N. V. Budarina

Republic of Ireland, Dundalk, Dundalk Institute of Technology
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DOI: https://doi.org/10.22405/2226-8383-2018-20-2-39-46
Abstract: An upper bound and lower bound for the number of integer polynomials which have only two close to each other roots, and small discriminant in terms of the Euclidean metric is obtained.
Keywords: Diophantine approximation, discriminant of polynomial.
Received: 30.07.2018
Accepted: 12.07.2019
Document Type: Article
UDC: 511.42
Language: English
Citation: N. V. Budarina, “Exact bounds for the special class of integer polynomials with given discriminant”, Chebyshevskii Sb., 20:2 (2019), 39–46
Citation in format AMSBIB
\Bibitem{Bud19}
\by N.~V.~Budarina
\paper Exact bounds for the special class of integer polynomials with given discriminant
\jour Chebyshevskii Sb.
\yr 2019
\vol 20
\issue 2
\pages 39--46
\mathnet{http://mi.mathnet.ru/cheb751}
\crossref{https://doi.org/10.22405/2226-8383-2018-20-2-39-46}
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