Séminaire Lotharingien de Combinatoire, 82B.53 (2019), 12 pp.
Jehanne Dousse
On partition identities of Capparelli and Primc
Abstract.
We show that, up to multiplication by a factor 1/(cq;q)\infty, the weighted words version of Capparelli's identity is a particular case of the weighted words version of Primc's identity. We prove this first using recurrences, and then bijectively. We also give finite versions of both identities.
Received: November 15, 2018.
Accepted: February 17, 2019.
Final version: April 1, 2019.
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