Exact upper bounds for the number of the polynomials with given discriminants
Bernik V, Budarina N, Götze F (2017)
LITHUANIAN MATHEMATICAL JOURNAL 57(3): 283-293.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
Download
Es wurden keine Dateien hochgeladen. Nur Publikationsnachweis!
Autor*in
Bernik, Vasili;
Budarina, Natalia;
Götze, FriedrichUniBi
Einrichtung
Abstract / Bemerkung
We generalize the result of Davenport on the sum of absolute values of discriminants of integer polynomials of degree three. For the first time, we find the exact upper bound for the number of polynomials with given discriminant in the class of cubic polynomials of bounded height for the whole interval of values of discriminants.
Stichworte
integer polynomials;
approximation by algebraic numbers;
discriminants;
of polynomials
Erscheinungsjahr
2017
Zeitschriftentitel
LITHUANIAN MATHEMATICAL JOURNAL
Band
57
Ausgabe
3
Seite(n)
283-293
ISSN
0363-1672
eISSN
1573-8825
Page URI
https://pub.uni-bielefeld.de/record/2913993
Zitieren
Bernik V, Budarina N, Götze F. Exact upper bounds for the number of the polynomials with given discriminants. LITHUANIAN MATHEMATICAL JOURNAL. 2017;57(3):283-293.
Bernik, V., Budarina, N., & Götze, F. (2017). Exact upper bounds for the number of the polynomials with given discriminants. LITHUANIAN MATHEMATICAL JOURNAL, 57(3), 283-293. doi:10.1007/s10986-017-9361-4
Bernik, Vasili, Budarina, Natalia, and Götze, Friedrich. 2017. “Exact upper bounds for the number of the polynomials with given discriminants”. LITHUANIAN MATHEMATICAL JOURNAL 57 (3): 283-293.
Bernik, V., Budarina, N., and Götze, F. (2017). Exact upper bounds for the number of the polynomials with given discriminants. LITHUANIAN MATHEMATICAL JOURNAL 57, 283-293.
Bernik, V., Budarina, N., & Götze, F., 2017. Exact upper bounds for the number of the polynomials with given discriminants. LITHUANIAN MATHEMATICAL JOURNAL, 57(3), p 283-293.
V. Bernik, N. Budarina, and F. Götze, “Exact upper bounds for the number of the polynomials with given discriminants”, LITHUANIAN MATHEMATICAL JOURNAL, vol. 57, 2017, pp. 283-293.
Bernik, V., Budarina, N., Götze, F.: Exact upper bounds for the number of the polynomials with given discriminants. LITHUANIAN MATHEMATICAL JOURNAL. 57, 283-293 (2017).
Bernik, Vasili, Budarina, Natalia, and Götze, Friedrich. “Exact upper bounds for the number of the polynomials with given discriminants”. LITHUANIAN MATHEMATICAL JOURNAL 57.3 (2017): 283-293.
Export
Markieren/ Markierung löschen
Markierte Publikationen
Web of Science
Dieser Datensatz im Web of Science®Suchen in
Google Scholar