DLMF:27.3.E3 (Q8004): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12234 / rank
 
Normal rank
Property / Symbols used: Q12234 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12234 / qualifier
 
xml-id: C27.S1.XMD4.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12235 / rank
 
Normal rank
Property / Symbols used: Q12235 / qualifier
 
Defining formula:

p , p 1 , … 𝑝 subscript 𝑝 1 … {\displaystyle{\displaystyle p,p_{1},\ldots}}

p,p_{1},\ldots
Property / Symbols used: Q12235 / qualifier
 
xml-id: C27.S1.XMD5.m1adec

Latest revision as of 14:15, 2 January 2020

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DLMF:27.3.E3
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    Statements

    Defining formula
    ϕ ⁡ ( n ) = n ⁢ ∏ p | n ( 1 - p - 1 ) , Euler-totient-phi 𝑛 𝑛 subscript product divides 𝑝 𝑛 1 superscript 𝑝 1 {\displaystyle{\displaystyle\phi\left(n\right)=n\prod_{p\mathbin{|}n}(1-p^{-1}% ),}}
    0 references
    DLMF id
    DLMF:27.3.E3
    0 references
    Symbols used
    Euler’s totient
    Defining formula
    ϕ ⁡ ( n ) Euler-totient-phi 𝑛 {\displaystyle{\displaystyle\phi\left(\NVar{n}\right)}}
    xml-id
    C27.S2.E7.m2adec
    0 references
    Q12234
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C27.S1.XMD4.m1bdec
    0 references
    Q12235
    Defining formula
    p , p 1 , … 𝑝 subscript 𝑝 1 … {\displaystyle{\displaystyle p,p_{1},\ldots}}
    xml-id
    C27.S1.XMD5.m1adec
    0 references
     
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