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

Francesco Battistoni*

*Autore corrispondente per questo lavoro

Risultato della ricerca: Contributo in rivistaArticolo in rivista

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 originaleEnglish
pagine (da-a)386-395
Numero di pagine10
RivistaJournal of Number Theory
Volume198
DOI
Stato di pubblicazionePubblicato - 2019

Keywords

  • Classification for small discriminant
  • Octic number fields

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