The minimum discriminant of number fields of degree 8 and signature (2,3)

Francesco Battistoni

doi:10.1016/j.jnt.2018.09.007

The minimum discriminant of number fields of degree 8 and signature (2,3)

Francesco Battistoni

Risultato della ricerca: Contributo in rivista › Articolo

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.

Lingua originale	Inglese
pagine (da-a)	386-395
Numero di pagine	10
Rivista	Journal of Number Theory
Volume	198
Numero di pubblicazione	N/A
DOI	https://doi.org/10.1016/j.jnt.2018.09.007
Stato di pubblicazione	Pubblicato - 2019

All Science Journal Classification (ASJC) codes

Algebra e Teoria dei Numeri

Keywords

Classification for small discriminant
Octic number fields

Accesso al documento

10.1016/j.jnt.2018.09.007

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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.",

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The minimum discriminant of number fields of degree 8 and signature (2,3)

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Accesso al documento

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