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.
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.
The minimum discriminant of number fields of degree 8 and signature (2,3)
F. BattistoniPrimo
2019
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.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Battistoni_Minimum Discriminant.pdf
accesso riservato
Tipologia:
Publisher's version/PDF
Dimensione
547.24 kB
Formato
Adobe PDF
|
547.24 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
