The lattice point counting problem on the Heisenberg groups

Rahul Garg, Amos Nevo, Krystal Taylor

We consider the radial and Heisenberg-homogeneous norms on the Heisenberg groups given by $N_{\alpha ,A}((z,t))={\left(|z{|}^{\alpha }+A|t{|}^{\alpha /2}\right)}^{1/\alpha }$, for $\alpha \ge 2$ and $A>0$. This nat…