# Green Functions, Ramanujan's identites and Ap\'ery's proof

#### by Professor Tony Guttmann

Institution: MASCOS, Department of Mathematics and Statistics, The University of Melbourne
Date: Tue 20th April 2010
Time: 1:00 PM
Location: Room 203, Richard Berry Building, The University of Melbourne

Abstract: In this rambling and disconnected talk I will discuss some recent work I've done on Lattice Green Functions, and its unexpected connection with number theory, by virtue of its connection with some Ramanujan type formulae for $1/\pi,$ and to Ap\'ery's proof of the irrationality of $\zeta(3)$. Zero knowledge is required apart from knowing what an ordinary differential equation is, knowing the definition of the Reimann zeta function, the constant $\pi,$ the concept of irrationality, plus the basic axioms of arithmetic.