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Ramanujan and Pi

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posted on 2025-05-08, 14:21 authored by Jonathan 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.

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