DLMF:25.11.E11 (Q7685): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12149 / rank
 
Normal rank
Property / Symbols used: Q12149 / qualifier
 
test:

s 𝑠 {\displaystyle{\displaystyle s}}

s
Property / Symbols used: Q12149 / qualifier
 
xml-id: C25.S1.XMD7.m1jdec

Latest revision as of 12:38, 2 January 2020

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DLMF:25.11.E11
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    Statements

    ζ ( s , 1 2 ) = ( 2 s - 1 ) ζ ( s ) , Hurwitz-zeta 𝑠 1 2 superscript 2 𝑠 1 Riemann-zeta 𝑠 {\displaystyle{\displaystyle\zeta\left(s,\tfrac{1}{2}\right)=(2^{s}-1)\zeta% \left(s\right),}}
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    s 1 𝑠 1 {\displaystyle{\displaystyle s\neq 1}}
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    ζ ( s , a ) Hurwitz-zeta 𝑠 𝑎 {\displaystyle{\displaystyle\zeta\left(\NVar{s},\NVar{a}\right)}}
    C25.S11.E1.m2aldec
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    ζ ( s ) Riemann-zeta 𝑠 {\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}
    C25.S2.E1.m2abdec
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    s 𝑠 {\displaystyle{\displaystyle s}}
    C25.S1.XMD7.m1jdec
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