The distribution of ideal class numbers of real quadratic fields

Hendy, M. D.

doi:10.1090/S0025-5718-1975-0409402-4

The distribution of ideal class numbers of real quadratic fields
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Math. Comp. 29 (1975), 1129-1134 Request permission

Corrigendum: Math. Comp. 30 (1976), 679.
Corrigendum: Math. Comp. 30 (1976), 679.

Abstract:

A table of class numbers of real quadratic number fields $Q(\surd d)$ with square-free determinant d, $1000 < d < 100000$ is examined and several analyses of the distribution of the class numbers, and the number of classes per genus are made. From these, two conjectures on the possible distribution of the class numbers as $d \to \infty$ are made, which are consistent with Gauss’s related conjecture.

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Richard B. Lakein, Computation of the ideal class group of certain complex quartic fields, Math. Comp. 28 (1974), 839–846. MR 374090, DOI 10.1090/S0025-5718-1974-0374090-1

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