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Bibliographic Details
Main Authors: Miller, Alison Beth, Xiao, Stanley Yao
Format: Preprint
Published: 2020
Subjects:
Online Access:https://arxiv.org/abs/2011.06559
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Table of Contents:
  • In this paper we obtain an asymptotic formula for the number of $\operatorname{SL}_2(\mathbb{Z})$-equivalence classes of positive definite binary quadratic forms over $\bZ$ having bounded discriminant $Δ= 1-4p$, with $p$ a prime. We also give a random Euler product model for the distribution of Hurwitz class numbers, which is supported by our formula.