DLMF:27.5.E6 (Q8030): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Möbius function / rank
 
Normal rank
Property / Symbols used: Möbius function / qualifier
 
Defining formula:

μ ( n ) Moebius-mu 𝑛 {\displaystyle{\displaystyle\mu\left(\NVar{n}\right)}}

\Moebiusmu@{\NVar{n}}
Property / Symbols used: Möbius function / qualifier
 
xml-id: C27.S2.E12.m2addec

Revision as of 14:18, 2 January 2020

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DLMF:27.5.E6
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    Statements

    G ( x ) = n x F ( x n ) F ( x ) = n x μ ( n ) G ( x n ) , 𝐺 𝑥 subscript 𝑛 𝑥 𝐹 𝑥 𝑛 𝐹 𝑥 subscript 𝑛 𝑥 Moebius-mu 𝑛 𝐺 𝑥 𝑛 {\displaystyle{\displaystyle G(x)=\sum_{n\leq x}F\left(\frac{x}{n}\right)% \Longleftrightarrow F(x)=\sum_{n\leq x}\mu\left(n\right)G\left(\frac{x}{n}% \right),}}
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    DLMF:27.5.E6
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    μ ( n ) Moebius-mu 𝑛 {\displaystyle{\displaystyle\mu\left(\NVar{n}\right)}}
    C27.S2.E12.m2addec
    0 references