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Fungrim entry: f0639c

{φ(n) odd,n{1,2}φ(n) even,otherwise\begin{cases} \varphi(n) \text{ odd}, & n \in \left\{1, 2\right\}\\\varphi(n) \text{ even}, & \text{otherwise}\\ \end{cases}
Assumptions:nZ0n \in \mathbb{Z}_{\ge 0}
TeX:
\begin{cases} \varphi(n) \text{ odd}, & n \in \left\{1, 2\right\}\\\varphi(n) \text{ even}, & \text{otherwise}\\ \end{cases}

n \in \mathbb{Z}_{\ge 0}
Definitions:
Fungrim symbol Notation Short description
Totientφ(n)\varphi(n) Euler totient function
ZZGreaterEqualZn\mathbb{Z}_{\ge n} Integers greater than or equal to n
Source code for this entry:
Entry(ID("f0639c"),
    Formula(Cases(Tuple(Odd(Totient(n)), Element(n, Set(1, 2))), Tuple(Even(Totient(n)), Otherwise))),
    Variables(n),
    Assumptions(Element(n, ZZGreaterEqual(0))))

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Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2020-01-31 18:09:28.494564 UTC