Well-rounded zeta-function of planar arithmetic lattices
Well-rounded zeta-function of planar arithmetic lattices
We investigate the properties of the zeta-function of well-rounded sublattices of a fixed arithmetic lattice in the plane. In particular, we show that this function has abscissa of convergence at $s=1$ with a real pole of order 2, improving upon a result of Stefan Kühnlein. We use this result to …