Krishnan Rajkumar (JNU, Delhi) - Thursday, Apr 10, 2025 - 4:00 PM

 Dear all,

This week's talk is by Krishnan Rajkumar of Jawaharlal Nehru University (JNU), Delhi. Here is the announcement. 

Talk Announcement: 

Title: Telescoping continued fractions for several of Ramanujan's entries

Speaker: Krishnan Rajkumar (JNU, Delhi)
When: April 10, 2025, 4:00 PM- 5:00 PM IST (Our usual time)

Where: Zoom: https://us06web.zoom.us/j/85978778056?pwd=JOhH44N5W0b6CZevkd2Hlr9JOUG2pD.1

Live LInk: https://youtube.com/live/eVgu2PvtG7U?feature=share

Abstract

We will recall earlier work where Apéry's proof of irrationality of ζ(3) was related to a continued fraction in Ramanujan's notebooks. We will then recall the method of Telescoping continued fractions from joint work with Bhatnagar (2023). We will then proceed to apply this method to certain series to prove several entries from Ramanujan's notebooks related to π, ζ(2), ζ(3) and G, the Catalan's constant.

Best wishes,

Gaurav Bhatnagar, Atul Dixit and Krishnan Rajkumar (organisers)

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