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Fungrim entry: cdd7e7

dnφ ⁣(d)=n\sum_{d \mid n} \varphi\!\left(d\right) = n
Assumptions:nZ0n \in \mathbb{Z}_{\ge 0}
TeX:
\sum_{d \mid n} \varphi\!\left(d\right) = n

n \in \mathbb{Z}_{\ge 0}
Definitions:
Fungrim symbol Notation Short description
DivisorSumknf ⁣(k)\sum_{k \mid n} f\!\left(k\right) Sum over divisors
Totientφ ⁣(n)\varphi\!\left(n\right) Euler totient function
ZZGreaterEqualZn\mathbb{Z}_{\ge n} Integers greater than or equal to n
Source code for this entry:
Entry(ID("cdd7e7"),
    Formula(Equal(DivisorSum(Totient(d), d, n), n)),
    Variables(n),
    Assumptions(Element(n, ZZGreaterEqual(0))))

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2019-08-17 11:32:46.829430 UTC