1-1-2014 Well-Rounded Zeta-Function of Planar Arithmetic Lattices

@inproceedings{Fukshansky2015112014WZ,
  title={1-1-2014 Well-Rounded Zeta-Function of Planar Arithmetic Lattices},
  author={Lenny Fukshansky},
  year={2015}
}
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 show that the number of well-rounded sublattices of a planar… CONTINUE READING