论文标题
关于具有判别$ 1-4p $，$ p $ PRIME的二进制二次形式的数量
On the number of binary quadratic forms having discriminant $1-4p$, $p$ prime
论文作者
论文摘要
在本文中，我们获得了一个渐近公式，用于$ \ operatotorname {sl} _2（\ mathbb {z}）$ - 在$ \ mathbb {z}上，正面确定的二进制二次形式的等价类别的等价类，额外$δ= 1-4p $ p $ p $ p Prime。这扩展了第一名命名作者的工作，并在计数简单的$（4A+1）$ - 属的属上有一个应用程序。
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 $\mathbb{Z}$ having bounded discriminant $Δ= 1-4p$, with $p$ a prime. This extends work of the first named author and has an application in counting simple $(4a+1)$-knots of genus one.
