Call \(\varphi(n)\) is an arithmetic function that counts the positive integers less than or equal to \(n\) that are relatively prime to \(n\).

By using combinatorics, prove that : \[\large \sum_{d|n}\varphi (n) =n\]

Call \(\varphi(n)\) is an arithmetic function that counts the positive integers less than or equal to \(n\) that are relatively prime to \(n\).

By using combinatorics, prove that : \[\large \sum_{d|n}\varphi (n) =n\]

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