New weighted partition identities involving partitions with distinct odd parts
October 20, 2016, 3:00 — 3:50 pm at LIT 368.
I will show how to use the Franklin involution to derive the Ramanujan-Fine identity. I will discuss new combinatorial interpretation of this identity.This interpretation involves partitions with distinct odd parts such that the smallest positive integer that is not a part of partition is odd.
This talk is based on my joint work with Ali Uncu.