Lecture I: How to discover the Rogers-Ramanujan Identities

Title: Ramanujan Explained 1: How to discover the Rogers-Ramanujan identities

Speaker: Gaurav Bhatnagar (Ashoka University)

When: April 18, 2024, 4:00 PM- 5:00 PM IST

Where: Zoom: Write to the organisers (sfandnt at gmail dot com) for the link

Abstract

About the Rogers-Ramanujan identities, Hardy famously remarked: “It would be difficult to find more beautiful formulae than the “Rogers-Ramanujan” identities… ” In the first introductory lecture in the Ramanujan Explained course, we explain Askey’s idea on how Ramanujan may have come across these identities. Continued fractions played an important part of Ramanujan’s work, and Askey’s explanation is all about the simplest $q$-continued fraction and how it naturally leads to the Rogers-Ramanujan identities.

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