**Speaker**: Jonathan Borwein, Shrum Professor of
Science, FRSC, Director CECM, Simon Fraser University

** Title**: Three adventures: symbolically discovered
identities for Zeta(4n+3) and like matters

** Abstract**: I will describe three sets of results in
which computer search and computer algebra played a large role in the
discovery/and or proof of results - each ultimately relating to
hypergeometric functions.

**Apery**: A generating function for $\zeta(4n+3)$.

**Ramanujan**: Integrals, means and transformations of the
hypergeometric $\,_2F_1(1/3,2/3,1;1-x^3)$.

**Euler**: Multivalued $\zeta$--function values and a
product of hypergeometric $\,_2F_1$'s.