Discriminants of cyclic cubic orders

Autor: Stéphane R. Louboutin, Jun Ho Lee
Rok vydání: 2016
Předmět:
Zdroj: Journal of Number Theory. 168:64-71
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2016.04.015
Popis: Let α be a cubic algebraic integer. Assume that the cubic number field Q ( α ) is Galois. Let α 1 , α 2 and α 3 be the real conjugates of α . We give an explicit Z -basis and the discriminant of the Gal ( Q ( α ) / Q ) -invariant totally real cubic order Z [ α 1 , α 2 , α 3 ] . This new result is completely different from the one previously obtained in the case that the cubic field Q ( α ) is not Galois.
Databáze: OpenAIRE
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