## Number Theory Seminar

### Wednesday, August 7th, 2019

**Time:** 3:30-4:30 p.m. **Place:** Jeffery Hall 319

**Speaker:** M. Ram Murty (Queen's University)

**Title:** AN INTRODUCTION TO THE CIRCLE METHOD.

**Abstract:** In 1916, in their ground-breaking paper deriving an asymptotic formula for the partition function, Hardy and Ramanujan introduced a powerful method in analytic number theory called the circle method. In a series of subsequent papers, Hardy and Littlewood developed the method to study Waring's problem, Goldbach's conjecture and other additive questions in number theory. I will present a gentle introduction to this method and indicate how it can be used to solve Waring's problem following an arrangement due to Linnik.