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.
History
Journal title
Notices of the American Mathematical Society
Volume
59
Issue
11
Pagination
1534-1537
Publisher
American Mathematical Society (AMS)
Language
en, English
College/Research Centre
Faculty of Science and Information Technology
Rights statement
First published in Notices of the American Mathematical Society in Vol. 59, No. 11 2012, published by the American Mathematical Society.