Sums of class numbers and mixed mock modular forms

Kathrin Bringmann, Ben Kane

In this paper, we consider sums of class numbers of the type ${\sum }_{m\equiv a(\mathrm{mod}p)}H(4n-m^2)$, where $p$ is an odd prime, $n\in \mathbb{N},$ and $a\in \mathbb{Z}$. By showing t…