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When is the following fraction an integer $\frac{3^a}{2^b-3}[(\frac{2^b}{3})^c – 1]$ where $a,b,c \in \mathbb{Z}$?

By ExtraProxies | Proxy Quality | Comments are Closed | 25 January, 2018 | 0

I’m trying to evaluate the following fraction $ \frac{3^a}{2^b-3}[(\frac{2^b}{3})^c – 1]$ , but I’m getting stuck using gcd arguments or divisibility arguments. This is part of an ongoing research I’m helping a professor with within the number theory department. Note: $ a,b,c \in Z$Read more

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