DLMF:23.15.E7 (Q7337): Difference between revisions

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‎Created a new Item: Wikidata Toolkit example test item creation
 
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Property / Symbols defined
 
Property / Symbols defined: Klein’s complete invariant / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: Q11945 / rank
 
Normal rank
Property / Symbols used: Q11945 / qualifier
 
Defining formula:

θ j ⁡ ( z , q ) Jacobi-theta 𝑗 𝑧 𝑞 {\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z},\NVar{q}\right)}}

\Jacobithetaq{\NVar{j}}@{\NVar{z}}{\NVar{q}}
Property / Symbols used: Q11945 / qualifier
 
xml-id: C20.S2.SS1.m2abdec
Property / Symbols used
 
Property / Symbols used: Q12066 / rank
 
Normal rank
Property / Symbols used: Q12066 / qualifier
 
Defining formula:

q 𝑞 {\displaystyle{\displaystyle q}}

q
Property / Symbols used: Q12066 / qualifier
 
xml-id: C23.S1.XMD10.m1cdec
Property / Symbols used
 
Property / Symbols used: Q12068 / rank
 
Normal rank
Property / Symbols used: Q12068 / qualifier
 
Defining formula:

τ 𝜏 {\displaystyle{\displaystyle\tau}}

\tau
Property / Symbols used: Q12068 / qualifier
 
xml-id: C23.S1.XMD9.m1cdec

Latest revision as of 01:18, 2 January 2020

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DLMF:23.15.E7
No description defined

    Statements

    Defining formula
    J ⁡ ( τ ) = ( θ 2 8 ⁡ ( 0 , q ) + θ 3 8 ⁡ ( 0 , q ) + θ 4 8 ⁡ ( 0 , q ) ) 3 54 ⁢ ( θ 1 ′ ⁡ ( 0 , q ) ) 8 , Kleins-invariant-modular-J 𝜏 superscript Jacobi-theta 2 8 0 𝑞 Jacobi-theta 3 8 0 𝑞 Jacobi-theta 4 8 0 𝑞 3 54 superscript diffop Jacobi-theta 1 1 0 𝑞 8 {\displaystyle{\displaystyle J\left(\tau\right)=\frac{\left({\theta_{2}^{8}}% \left(0,q\right)+{\theta_{3}^{8}}\left(0,q\right)+{\theta_{4}^{8}}\left(0,q% \right)\right)^{3}}{54\left(\theta_{1}'\left(0,q\right)\right)^{8}},}}
    0 references
    DLMF id
    DLMF:23.15.E7
    0 references
    Symbols used
    Q11945
    Defining formula
    θ j ⁡ ( z , q ) Jacobi-theta 𝑗 𝑧 𝑞 {\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z},\NVar{q}\right)}}
    xml-id
    C20.S2.SS1.m2abdec
    0 references
    Q12066
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C23.S1.XMD10.m1cdec
    0 references
    Q12068
    Defining formula
    τ 𝜏 {\displaystyle{\displaystyle\tau}}
    xml-id
    C23.S1.XMD9.m1cdec
    0 references
     
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