The number of imaginary quadratic fields with prime discriminant and class number up to H
Abstract
In this paper, we obtain an asymptotic formula for the number of imaginary quadratic fields with prime discriminant and class number up to H, as H ∞. Previously, such an asymptotic was only known under the assumption of the Generalized Riemann Hypothesis, by the recent work of Holmin, Jones, Kurlberg, McLeman and Petersen.
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