id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ap-1370	Takasaki, K.	Toda Tau Functions with Quantum Torus Symmetries	2011	3	.pdf	application/pdf	1488	89	75	G−1 − q−W0/2 · exp ( ∞∑ k=1 (−1)ktkJk ) qW0/2G−. Inserting this identity and using the fact that 〈s|G−1 − q−W0/2 = q−s(s+1)(2s+1)/12〈s|, q−W0/2G−1 + |s〉 = q−s(s+1)(2s+1)/12|s〉, we can rewrite Z(s, t) as Z(Q, s, t) = exp ( ∞∑ k=1 tkqk 1− qk ) · q−s(s+1)(2s+1)/6τ(s, T ,0), (13) Keywords: Toda hierarchy, melting crystal model, quantum torus algebra.	cache/ap-1370.pdf	txt/ap-1370.txt