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I'm wondering how to do this question. I believe the question wants to decompose the following statements together from the text book to find the Mobius function

Thank you in advance (:

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Compose the 4 transformations you'll get $(az+b)/(cz+d)$ where $a,b,c,d$ were (almost) arbitrary. For the calculation it might help you to notice that for $c\ne 0$ $$\frac{az+b}{cz+d} = \frac{a}{c}+\frac{a(-d/c)+b}{cz+d}$$

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  • $\begingroup$ what were the steps you took to get this answer and tysm! $\endgroup$ Dec 4, 2020 at 21:52

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