A proof of conjectured partition identities of Nandi

Published 28 Oct 2019 in math.CO, math.NT, math.QA, and math.RT | (1910.12461v2)

Abstract: 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 $A^{(2)}_{2}$.

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