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Proofs of Some Kanade--Russell Mod 12 Conjectures

Wang, Liuquan
arXiv (All) · Papers
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combinatoricsnumber-theory
Kanade and Russell conjectured seventeen Rogers--Ramanujan type identities of modulus 12. Eleven of these identities involving triple sums were proved by Bringmann--Jennings-Shaffer--Mahlburg and by Rosengren. Motivated by these works and using similar methods, we settle all the six remaining conjec
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