School Seminars and Colloquia

Ramanujan vs. Apery: $1/\pi$ vs. $\zeta(3)$

Mathematical Physics Seminar

by Wadim Zudilin

Institution: The University of Newcastle
Date: Mon 24th January 2011
Time: 1:05 PM
Location: Room 213, Richard Berry Building, The University of Melbourne

Abstract: In 1914 S. Ramanujan recorded a list of 17 series for $1/\pi$. In 1978 R. Ap\'ery showed the irrationality of $\zeta(3)$. These are two seemingly unrelated results, although in both Ramanujan's and Ap\'ery's cases there were just hints on how the things might be proven; rigorous proofs appeared somewhat later. The aim of my talk is to show some common grounds and beauty of the two discoveries, as well as to indicate some recent novelties in the subject.

For More Information: contact: Iwan Jensen. email: