5 citations · 13 across the 10 of their papers we have counts for
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math.CO2019★ 3 cited
Generalisations of Capparelli's and Primc's identities, I: coloured Frobenius partitions and combinatorial proofs
Jehanne Dousse, Isaac Konan
In these two companion papers, we give infinite families of partition identities which generalise Primc's and Capparelli's identities, and study their consequences on the theory of…
math.QA2019★ 4 cited
Generalisations of Capparelli's and Primc's identities, II: perfect crystals and explicit character formulas
Jehanne Dousse, Isaac Konan
In the first paper of this series, we gave infinite families of coloured partition identities which generalise Primc's and Capparelli's classical identities. In this second paper,…
math.CO2019★ 5 cited
A bijective proof and generalization of Siladić's Theorem
Isaac Konan
In a recent paper, Dousse introduced a refinement of Siladić's theorem on partitions, where parts occur in two primary and three secondary colors. Her proof used the method of weig…