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A proof of conjectured partition identities of Nandi
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A proof of conjectured partition identities of Nandi
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We generalize the theory of linked partition ideals due to Andrews using finite automata in formal language theory and apply it to prove three Rogers--Ramanujan type identities of modulo 14 that were posed by Nandi through vertex operator theoretic construction of the level 4 standard modules of the affine Lie algebra $A^{(2)}_{2}$.
Forward citations
Cited by 2 Pith papers
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Leading Terms of Relations on a Level 5 Module over the Twisted Affine Lie Algebra $A_2^{(2)}$
The partial partition conditions for level 5 A2^(2) L(5Λ0) match the specialized character through q^41, miss one partition each at q^42 and q^48, and differ from the Borcea-dual A1^(1) level 2 identity.
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Companions to the Andrews-Gordon and Andrews-Bressoud Identities and Recent Conjectures of Capparelli, Meurman, Primc, and Primc
The paper finds bivariate generating functions and bijections for the k=1 cases of conjectured colored partition identities, linking them to Andrews-Gordon identities and known results of Jing et al.
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