Green Functions, Ramanujan's identites and Ap\'ery's proof
by Professor Tony Guttmann
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.
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