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- W4289543108 abstract "We prove seven of the Rogers-Ramanujan type identities modulo $12$ that were conjectured by Kanade and Russell. Included among these seven are the two original modulo $12$ identities, in which the products have asymmetric congruence conditions, as well as the three symmetric identities related to the principally specialized characters of certain level $2$ modules of $A_9^{(2)}$. We also give reductions of four other conjectures in terms of single-sum basic hypergeometric series." @default.
- W4289543108 created "2022-08-03" @default.
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- W4289543108 date "2018-09-17" @default.
- W4289543108 modified "2023-09-25" @default.
- W4289543108 title "Proofs and reductions of various conjectured partition identities of Kanade and Russell" @default.
- W4289543108 doi "https://doi.org/10.48550/arxiv.1809.06089" @default.
- W4289543108 hasPublicationYear "2018" @default.
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