 CARMA COLLOQUIUM
 Speaker: Laureate Prof Jon Borwein, CARMA, The University of Newcastle
 Title: Ramanujan's ArithmeticGeometric Mean Continued Fractions and Dynamics
 Location: Room V129, Mathematics Building (Callaghan Campus) The University of Newcastle
 Time and Date: 4:00 pm, Thu, 4^{th} Nov 2010
 Abstract:
The continued fraction:
$${\cal R}_\eta(a,b) =\,\frac{{\bf \it a}}{\displaystyle
\eta+\frac{\bf \it b^2}{\displaystyle \eta
+\frac{4{\bf \it a}^2}{\displaystyle \eta+\frac{9 {\bf \it b}^2}{\displaystyle \eta+{}_{\ddots}}}}}$$
enjoys attractive algebraic properties such as a striking arithmeticgeometric mean relation and elegant links with ellipticfunction theory. The fraction presents a computational challenge, which we could not resist.
 [Permanent link]
