posted on 2025-05-08, 14:21authored byJonathan M. Borwein
Since Ramanujan’s 1987 centennial, much new mathematics has been stimulated by uncanny formulas in Ramanujan’s Notebooks (lost and
found). In illustration, I mention the exposition by Moll and his colleagues which illustrates various neat applications of Ramanujan’s Master Theorem, which extrapolates the Taylor coefficients of a function, and relates them to methods of integration used in particle physics. I also note lovely work on the modular functions behind
Apéry and Domb numbers by Chan and others, and finally I mention my own work with Crandall on Ramanujan’s arithmetic-geometric continued
fraction.