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Question Number 122637 by sina1377 last updated on 18/Nov/20

can anybody do me a faver and tell me what  the  direct proof of  mobius inversion formula is? (proof without using  Dirichlet convolutions)?

$${can}\:{anybody}\:{do}\:{me}\:{a}\:{faver}\:{and}\:{tell}\:{me}\:{what}\:\:{the}\:\:{direct}\:{proof}\:{of}\:\:{mobius}\:{inversion}\:{formula}\:{is}?\:\left({proof}\:{without}\:{using}\:\:{Dirichlet}\:{convolutions}\right)? \\ $$$$ \\ $$

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