DLMF:27.2.E12 (Q7999): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
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.m1idec

Revision as of 14:14, 2 January 2020

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DLMF:27.2.E12
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    Statements

    Defining formula
    μ ⁡ ( n ) = { 1 , n = 1 , ( - 1 ) ν ⁡ ( n ) , a 1 = a 2 = … = a ν ⁡ ( n ) = 1 , 0 , otherwise . Moebius-mu 𝑛 cases 1 𝑛 1 superscript 1 number-of-primes-dividing-nu 𝑛 subscript 𝑎 1 subscript 𝑎 2 … subscript 𝑎 number-of-primes-dividing-nu 𝑛 1 0 otherwise {\displaystyle{\displaystyle\mu\left(n\right)=\begin{cases}1,&n=1,\\ (-1)^{\nu\left(n\right)},&a_{1}=a_{2}=\dots=a_{\nu\left(n\right)}=1,\\ 0,&\mbox{otherwise}.\end{cases}}}
    0 references
    DLMF id
    DLMF:27.2.E12
    0 references
    Symbols used
    Q12233
    Defining formula
    ν ⁡ ( n ) number-of-primes-dividing-nu 𝑛 {\displaystyle{\displaystyle\nu\left(\NVar{n}\right)}}
    xml-id
    C27.S2.SS1.p1.m6aadec
    0 references
    Q12234
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C27.S1.XMD4.m1idec
    0 references
     
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