DLMF:23.17.E6 (Q7348): Difference between revisions

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imported>Admin
 
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Property / Symbols used
 
Property / Symbols used: Dedekind’s eta function (or Dedekind modular function) / rank
 
Normal rank
Property / Symbols used: Dedekind’s eta function (or Dedekind modular function) / qualifier
 
test:

η ( τ ) Dedekind-modular-Eta 𝜏 {\displaystyle{\displaystyle\eta\left(\NVar{\tau}\right)}}

\Dedekindeta@{\NVar{\tau}}
Property / Symbols used: Dedekind’s eta function (or Dedekind modular function) / qualifier
 
xml-id: C27.S14.E12.m2aadec
Property / Symbols used
 
Property / Symbols used: Q12066 / rank
 
Normal rank
Property / Symbols used: Q12066 / qualifier
 
test:

q 𝑞 {\displaystyle{\displaystyle q}}

q
Property / Symbols used: Q12066 / qualifier
 
xml-id: C23.S1.XMD10.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12060 / rank
 
Normal rank
Property / Symbols used: Q12060 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12060 / qualifier
 
xml-id: C23.S1.XMD3.m1dec
Property / Symbols used
 
Property / Symbols used: Q12068 / rank
 
Normal rank
Property / Symbols used: Q12068 / qualifier
 
test:

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

\tau
Property / Symbols used: Q12068 / qualifier
 
xml-id: C23.S1.XMD9.m1bdec

Latest revision as of 00:19, 2 January 2020

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DLMF:23.17.E6
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    Statements

    η ( τ ) = n = - ( - 1 ) n q ( 6 n + 1 ) 2 / 12 . Dedekind-modular-Eta 𝜏 superscript subscript 𝑛 superscript 1 𝑛 superscript 𝑞 superscript 6 𝑛 1 2 12 {\displaystyle{\displaystyle\eta\left(\tau\right)=\sum_{n=-\infty}^{\infty}(-1% )^{n}q^{(6n+1)^{2}/12}.}}
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    η ( τ ) Dedekind-modular-Eta 𝜏 {\displaystyle{\displaystyle\eta\left(\NVar{\tau}\right)}}
    C27.S14.E12.m2aadec
    0 references
    q 𝑞 {\displaystyle{\displaystyle q}}
    C23.S1.XMD10.m1bdec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C23.S1.XMD3.m1dec
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    τ 𝜏 {\displaystyle{\displaystyle\tau}}
    C23.S1.XMD9.m1bdec
    0 references