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Imprimitive octic fields with small discriminants

Authors :
Michel Olivier
Francisco Diaz y Diaz
Henri Cohen
Source :
Lecture Notes in Computer Science ISBN: 9783540646570, ANTS
Publication Year :
1998
Publisher :
Springer Berlin Heidelberg, 1998.

Abstract

We give here the complete table of octic fields with a quartic subfield with minimum discriminants for all signatures and for all the possible Galois groups. Moreover we give some pairs of octic fields arithmetically equivalent (i.e. with the same Dedekind zeta function).

Details

ISBN :
978-3-540-64657-0
ISBNs :
9783540646570
Database :
OpenAIRE
Journal :
Lecture Notes in Computer Science ISBN: 9783540646570, ANTS
Accession number :
edsair.doi...........ad57cfe4291a48a6f88637b59d6ffb54