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A positive density of
fundamental discriminants with large regulator
Étienne Fouvry and Florent Jouve |
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Vol. 262 (2013), No. 1, 81–107
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Abstract |
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We prove that there is a
positive density of positive fundamental discriminants D such that the fundamental
unit 𝜀(D) of the ring of integers of the field ℚ( |
Keywords
regulator of a real quadratic field, Pell equation
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Mathematical Subject Classification 2010
Primary: 11D09
Secondary: 11R11
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Milestones
Received: 23 November 2011
Revised: 21 November 2012
Accepted: 22 November 2012
Published: 27 March 2013
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Authors |
| Étienne Fouvry | |
| Laboratoire de Mathématique Campus d’Orsay, Université de Paris-Sud Batiment 425 UMR 8628 91405 Orsay Cedex France |
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| Florent Jouve | |
| Laboratoire de Mathématique Campus d’Orsay, Université de Paris-Sud Batiment 425 UMR 8628 91405 Orsay Cedex France |
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