The number of imaginary quadratic fields with prime discriminant and class number up to $H$

Youness Lamzouri

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arXiv · 1701.05267

The number of imaginary quadratic fields with prime discriminant and class number up to $H$

Youness Lamzouri

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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 $H\to \infty$. 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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Youness Lamzouri. 2017-08-25. The number of imaginary quadratic fields with prime discriminant and class number up to $H$. https://arxiv.org/abs/1701.05267

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