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Average class number formula for imaginary quadratic fields with prime discriminant
For a positive integer $d$, let $h(-d)$ denote the class number of the imaginary quadratic field $\mathbb{Q}(\sqrt{-d})$. Is there a known asymptotic formula for the sum
$$\displaystyle \sum_{\substack{p \leq x \\ p \equiv 3 \pmod{4}}} h(-p)?$$
