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arXiv · 2301.01359

Proofs of Modulo 11 and 13 Cylindric Kanade-Russell Conjectures for $A_2$ Rogers-Ramanujan Type Identities

Ali Kemal Uncu
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Abstract

We present proofs of two new families of sum-product identities arising from the cylindric partitions paradigm. Most of the presented expressions, the related sum-product identities, and the ingredients for the proofs were first conjectured by Kanade-Russell in the spirit of Andrews-Schilling-Warnaar identities of the $A_2$ Rogers-Ramanujan type. We follow the footsteps of Kanade-Russell while we alter the computations heavily to accomplish our goals.

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Ali Kemal Uncu. 2023-01-03. Proofs of Modulo 11 and 13 Cylindric Kanade-Russell Conjectures for $A_2$ Rogers-Ramanujan Type Identities. https://arxiv.org/abs/2301.01359

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