Quintuple product identity

Summary

Quintuple product identity is a theorem^[1]. It draws 4 Wikipedia views per month (theorem category, ranking #273 of 1,306).^[2]

Key Facts

• Quintuple product identity's instance of is recorded as theorem^[3].
• Quintuple product identity's Freebase ID is recorded as /m/0h3vqzm^[4].
• Quintuple product identity's defining formula is recorded as \prod\limits_{n}\frac{(1-x)^{2n}(1-a^2x^{2n-2})(1-a^{-2}x^{}2n)}{(1+ax^{2n-1})(1+a^{-1}x^{2n-1}}=\displaystyle\sum\limits_{n}(a^{-3n}-a^{3n+2})x^{n(3n+2)}, \mid x\mid <1,a\neq 0.^[5].
• Quintuple product identity's defining formula is recorded as \prod\limits_{n\geq 1} (1-s^n)(1-s^nt)(1-s^{n-1}t^{-1})(1-s^{2n-1}t^2)(1-s^{2n-1}t^{-2}) =\displaystyle\sum\limits_{n \in Z}s^{(3n^2+n)/2}(t^{3n}-t^{-3n-1}), \mid s\mid <1,t\neq 0.^[6].
• Quintuple product identity's maintained by WikiProject is recorded as WikiProject Mathematics^[7].

Why It Matters

Quintuple product identity draws 4 Wikipedia views per month (theorem category, ranking #273 of 1,306).^[2]