Title: Ramanujan Explained 2: The q-binomial theorem
Speaker: Gaurav Bhatnagar (Ashoka University)
When: Thursday, May 2, 2024, 4:00 PM- 5:00 PM IST
Where: Zoom: Write to the organisers (sfandnt at gmail dot com) for the link
Abstract
We begin our study of Ramanujan’s identities. The Rogers-Ramanujan identities appear Chapter 16 of Volume 3 of Berndt’s Ramanujan’s notebooks. One of the key results is the q-binomial theorem. We will begin with a discovery approach to the binomial theorem and then give Ramanujan’s own proof of the q-binomial theorem. Ramanujan developed hypergeometric series in an earlier chapter, so chances are that he was motivated to find a more general series with an additional parameter.
Viewers in China: please use this link (courtesy Shishuo Fu and group)
Ramanujan Explained 