Generalized configuration-sum fermionic formula
Let η∈P\eta\in\mathcal{P}η∈P satisfy η1≤n−1\eta_1\leq n-1η1≤n−1. For s,u∈{0,…,N}s,u\in\{0,\dots,N\}s,u∈{0,…,N} and r,v∈{0,…,n−1}r,v\in\{0,\dots,n-1\}r,v∈{0,…,n−1}, set Λ=(N−s)Λr+sΛr+1\Lambda=(N-s)\Lambda_r+s\Lambda_{r+1}Λ=(N−s)Λr+sΛr+1 and…
Conjugate Bailey-pair conjecture for affine A-type string functions
Let ℓ∈Z+\ell\in\mathbb{Z}_{+}ℓ∈Z+, k∈Q∩P+k\in Q\cap P_{+}k∈Q∩P+, and η∈P\eta\in\mathcal{P}η∈P satisfy η1≤n−1\eta_1\leq n-1η1≤n−1 and ∣η∣≡ℓ(modn)|\eta|\equiv\ell\pmod n∣η∣≡ℓ(modn). Let Λ∈P+N\Lambda\in P_{+}^{N}Λ∈P+N satisfy…
The finite Andrews–Gordon Bailey hierarchy
Finite Andrews–Gordon Bailey hierarchy conjecture.
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