title: Gaussian binomials and the number of sublattices.
abstract: The purpose of this short communication is to make some observations on the connections between various existing formulas of counting the number of sublattices of a fixed index in an n-dimensional lattice and their connection with the Gaussian binomials.
authors.affiliation: Department of Mathematical Sciences, University of Wisconsin, Milwaukee, WI 53201, USA. ymzou@uwm.edu
authors.forename: Yi Ming
authors.initials: YM
authors.lastname: Zou