On an Analogue Of the Gauss Circle Problem For the Heisenberg Groups

Yoav A. Gath

We consider the problem of estimating the error term ${\mathcal{E}}_q(x)=|{\mathbb{Z}}^{2q+1}\cap {\delta }_x\mathcal{B}|-\text{vol}\left(\mathcal{B}\right)x^{2q+2}$ which occurs in…