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
Title: Ramanujan Explained 2: The $q$-binomial theorem
Speaker: Gaurav Bhatnagar (Ashoka University)
When: May 2, 2024, 4:00 PM- 5:00 PM IST
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.
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