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f(x)=∏k=0∞(∑n=0A−1xnAk)\displaystyle \large f(x) = \prod _{k=0}^{\infty}\left(\sum _{n=0}^{A-1}x^{nA^k}\right)f(x)=k=0∏∞⎝⎛n=0∑A−1xnAk⎠⎞
Find the value of f(12)f \left(\frac 12 \right)f(21), given that AAA is an integer greater than 1.
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