2009 Number Theory Seminar - 03

This talk will be in two parts. The first will give an idea of what computations are possible with L-functions, and what uses they have. The second part will give more explicit details for some of the work being done under a Focused Research Group grant from the NSF. In particular, we will describe work concerning the number of rank 4 twists of the congruent number curve (still in progress), and some eta-quotient expressions for various Waldspurger lifts of modular forms.