A positive density of fundamental discriminants with large regulator

Etienne Fouvry (1) , Florent Jouve (1)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay

We prove that there is a positive density of positive fundamental discriminants D such that the fundamental unit of the ring of integers of the field Q(D^(1/2)) is essentially greater than $D^3$.

Domaines: Théorie des nombres [math.NT]

Etienne Fouvry, Florent Jouve. A positive density of fundamental discriminants with large regulator. 2011. ⟨hal-00644495⟩