Exact bounds for the special class of integer polynomials with given discriminant
Čebyševskij sbornik, Tome 20 (2019) no. 2, pp. 39-46

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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.
@article{CHEB_2019_20_2_a2,
     author = {N. V. Budarina},
     title = {Exact bounds for the special class of integer polynomials with given discriminant},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {39--46},
     publisher = {mathdoc},
     volume = {20},
     number = {2},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2019_20_2_a2/}
}
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N. V. Budarina. Exact bounds for the special class of integer polynomials with given discriminant. Čebyševskij sbornik, Tome 20 (2019) no. 2, pp. 39-46. http://geodesic.mathdoc.fr/item/CHEB_2019_20_2_a2/