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1993 The number of real quadratic fields having units of negative norm
Peter Stevenhagen
Experiment. Math. 2(2): 121-136 (1993).

Abstract

We study the density of the set of real quadratic fields for which the norm of the fundamental unit equals $-$1 inside the set of real quadratic fields containing elements of norm $-$1. A conjectural density is derived from a single heuristic assumption, and experimental data supporting this assumption are given. We finally discuss how close one can get to proving such conjectural densities.

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Peter Stevenhagen. "The number of real quadratic fields having units of negative norm." Experiment. Math. 2 (2) 121 - 136, 1993.

Information

Published: 1993
First available in Project Euclid: 24 March 2003

zbMATH: 0792.11041
MathSciNet: MR1259426

Subjects:
Primary: 11R11
Secondary: 11R27, 11Y40

Rights: Copyright © 1993 A K Peters, Ltd.

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Vol.2 • No. 2 • 1993
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