DLMF:25.15.E2 (Q7747): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10811 / rank
 
Normal rank
Property / Symbols used: Q10811 / qualifier
 
Defining formula:

ℜ ⁡ absent {\displaystyle{\displaystyle\Re}}

\realpart@@
Property / Symbols used: Q10811 / qualifier
 
xml-id: C1.S9.E2.m1aadec

Revision as of 01:04, 2 January 2020

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DLMF:25.15.E2
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    Statements

    Defining formula
    L ⁡ ( s , χ ) = ∏ p ( 1 - χ ⁢ ( p ) p s ) - 1 , Dirichlet-L 𝑠 𝜒 subscript product 𝑝 superscript 1 𝜒 𝑝 superscript 𝑝 𝑠 1 {\displaystyle{\displaystyle L\left(s,\chi\right)=\prod_{p}\left(1-\frac{\chi(% p)}{p^{s}}\right)^{-1},}}
    0 references
    DLMF id
    DLMF:25.15.E2
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    constraint
    ℜ ⁡ s > 1 𝑠 1 {\displaystyle{\displaystyle\Re s>1}}
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    Symbols used
    Dirichlet $$L$$ -function
    Defining formula
    L ⁡ ( s , χ ) Dirichlet-L 𝑠 𝜒 {\displaystyle{\displaystyle L\left(\NVar{s},\NVar{\chi}\right)}}
    xml-id
    C25.S15.E1.m2aadec
    0 references
    Q10811
    Defining formula
    ℜ ⁡ absent {\displaystyle{\displaystyle\Re}}
    xml-id
    C1.S9.E2.m1aadec
    0 references
     
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