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arXiv · 2211.12351

A vertex operator reformulation of the Kanade-Russell conjecture modulo 9

Shunsuke Tsuchioka
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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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BibTeXRIS

Shunsuke Tsuchioka. 2022-11-22. A vertex operator reformulation of the Kanade-Russell conjecture modulo 9. https://arxiv.org/abs/2211.12351

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