There is little need to introduce the Riemann Zeta function: as the central object in perhaps the most important open problem in mathematics today, it has received a fair amount of attention. Nevertheless, the focus of this attention has (justifiably) been on how the zeta function relates to the Riemann Hypothesis, which could make us overlook the myriad other interesting properties and problems related to it. One such problem is very much related to the way the zeta function was originally considered: one of the very first important mentions of the zeta function (which was, of course, not yet refered to by that name) was in 1735, when a 28 year-old Leonhard Euler solved what was known as the Basel Problem - the problem of finding the limit of the series . Euler and others subsequently found many more interesting theorems about the values of the zeta function on the integers, and this will be the main topic of this evening's DG, starting at 7:30 PM in MS.04.