Milner 317

Wednesdays, 12:30-1:30 PM

Texas A&M University

**Wednesday, February 21
Milner 317, 12:30 PM**

**Title:** On the
distribution of integral well-rounded lattices in dimension two, Part II

**Abstract:** A lattice is
called well-rounded if its minimal vectors span the corresponding
Eucildean space. We continue studying the distribution of well-rounded
full-rank sublattices of
Z^2 by examining the growth of the number of such lattices with fixed
determinant. We also introduce a zeta-function associated with this
class of lattices and study some of its properties. By comparing its
behaviour to that of two well-known zeta functions we obtain some
additional information. This is continuation of the talk I gave on September 27, 2006, however I will review all
the previously discussed results and background to make this talk
entirely
self-contained.