Seminar at SMU Delhi
January 23, 2013 (Wednesday) ,
3:30 PM at Webinar
Speaker:
Krishnan Rajkumar,
IMSc, Chennai
Title:
Irrationality of Zeta values - Ap\'ery and Ramanujan
Abstract of Talk
Irrationality of Zeta values - Ap\'ery and Ramanujan
Abstract: We shall first discuss various irrationality criteria. We shall
then review the results on special values of the Riemann zeta function. In
particular, we shall study the "miraculous" proof of the irrationality of
$\zeta(3)$ due to Ap\'ery. Finally, we will describe an approach to this
problem which simplifies Ap\'ery's proof as well as demonstrates the
relation of this proof with a continued fraction due to Ramanujan.