Data di Pubblicazione:
2019
Citazione:
The minimum discriminant of number fields of degree 8 and signature (2,3) / F. Battistoni. - In: JOURNAL OF NUMBER THEORY. - ISSN 0022-314X. - 198(2019 May), pp. 386-395.
Abstract:
In this paper we describe how to use the algorithmic methods provided by Hunter and Pohst in order to give a complete classification of number fields of degree 8 and signature (2,3) with absolute discriminant less than a certain bound. The choice of this bound comes from the local corrections given by prime ideals to the lower estimates for discriminants obtained with the Odlyzko–Poitou–Serre method.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Classification for small discriminant; Octic number fields
Elenco autori:
F. Battistoni
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