The mass of shifted lattices and class numbers of inhomogeneous quadratic polynomials

Kathrin Bringmann, Zilong He, Ben Kane

In this paper, we investigate class numbers of shifted quadratic lattices $L+\frac{\mathbf{u}}{c}$ with $\mathbf{u}\in L$ and odd conductor $c\in \mathbb{N}$. For a lattice…