A vertex operator reformulation of the Kanade-Russell conjecture modulo 9
Abstract
We reformulate the Kanade-Russell conjecture modulo 9 via the vertex operators for the level 3 standard modules of type D(3)4. Along the same line, we arrive at three partition theorems which may be regarded as an A(2)4 analog of the conjecture. One had been proven by Andrews-van Ekeren-Heluani and we point out that the others are easily proved from their results.
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