Dear all,

The second talk in the Ramanujan Explained course will be on the q-binomial theorem. There is now a website https://ramanujanexplained.org which contains (draft) lecture notes as well as a link to the video of the first lecture. In addition, there is a video link for visitors located in China (courtesy Shishuo Fu).

**Talk Announcement:**

**Title:**Ramanujan Explained 2: The $q$-binomial theorem

**Speaker:**Gaurav Bhatnagar (Ashoka University)

**When:**May 2, 2024, 4:00 PM- 5:00 PM IST

**Where**: Please ask the organisers 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 there 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.