**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.