Title: Apery's theorem and a continued fraction of Ramanujan
Speaker: Krishnan Rajkumar, SC&SS, JNU
Where: Room 111, School of Physical Sciences (SPS)
Abstract:
We will discuss Apéry's "miraculous" proof of the irrationality of ζ(3) as well as the claim that Apéry's constructions were motivated from a "table" of Ramanujan. We will then present a method of deriving certain continued fractions in Ramanujan's notebooks that also provides a proof of Apéry's theorem.