Date & Time: Wednesday, August 13, 2014, 16:00-17:00.
Venue: Ramanujan Hall
Speaker: M. Ram Murty, Queen's University
Title: Ramanujan expansions and twin primes
Abstract: In 1916, in a little known paper, Ramanujan introduced the idea of a "Fourier series" for arithmetical functions. It is clear that these ideas were in Ramanujan's mind before he left for England in 1914 since some of these notions are hinted at in his letters to Hardy written earlier. In this talk, I will give a general outline of his ideas and how they can be used to understand problems such as the twin prime conjecture.