product_(k = 1)^n(1 + y q^k) | = | sum_(m = 0)^n y^m q^(m(m + 1)/2) [n m]_q | = | sum_(m = 0)^n y^m q^(m(m + 1)/2) (q)_n/((q)_m (q)_(n - m)), where [n m]_q is a q-binomial coefficient.
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