Dear all,
The talk this week is by Nargish Punia of IIT, Roorkee.
Talk Announcement:
Title: On Partition classes arising from parity, differences and repeated smallest parts
Title: On Partition classes arising from parity, differences and repeated smallest parts
Speaker: Nargish Punia, Indian Institute of Technology, Roorkee, India
When: May 14, 2026, 4:00 PM- 5:00 PM IST
When: May 14, 2026, 4:00 PM- 5:00 PM IST
Where: Zoom: Write to the organisers at sf and nt at gmail.com for the link
Live Link: https://youtube.com/live/BMrnfrIzjxs?feature=share
Abstract
In this talk, we present various classes of partition functions such as those related to the parity of the number of parts, to differences of partition numbers, and to partitions with a repeated smallest part. We establish identities connecting these various classes of partitions. Moreover, we will discuss how these identities help us to extend the Euler’s partition theorem. If time permits, we will also present an analogue of Legendre’s theorem of the partition-theoretic interpretation of Euler’s pentagonal number theorem. This is joint work with Rahul Kumar.
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Gaurav Bhatnagar, Atul Dixit, and Krishnan Rajkumar,
Special Functions and Number Theory Seminar
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