DLMF:20.11.E1 (Q6842): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(3 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: base of natural logarithm / rank
 
Normal rank
Property / Symbols used: base of natural logarithm / qualifier
 
Defining formula:

e {\displaystyle{\displaystyle\mathrm{e}}}

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2adec
Property / Symbols used
 
Property / Symbols used: imaginary unit / rank
 
Normal rank
Property / Symbols used: imaginary unit / qualifier
 
Defining formula:

i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}

\iunit
Property / Symbols used: imaginary unit / qualifier
 
xml-id: C1.S9.E1.m2adec
Property / Symbols used
 
Property / Symbols used: Q11951 / rank
 
Normal rank
Property / Symbols used: Q11951 / qualifier
 
Defining formula:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q11951 / qualifier
 
xml-id: C20.S1.XMD1.m1dec
Property / Symbols used
 
Property / Symbols used: Q11947 / rank
 
Normal rank
Property / Symbols used: Q11947 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11947 / qualifier
 
xml-id: C20.S1.XMD2.m1dec

Latest revision as of 14:43, 2 January 2020

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DLMF:20.11.E1
No description defined

    Statements

    G ( m , n ) = k = 0 n - 1 e - π i k 2 m / n ; 𝐺 𝑚 𝑛 superscript subscript 𝑘 0 𝑛 1 superscript 𝑒 𝜋 𝑖 superscript 𝑘 2 𝑚 𝑛 {\displaystyle{\displaystyle G(m,n)=\sum\limits_{k=0}^{n-1}e^{-\pi ik^{2}m/n};}}
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    DLMF:20.11.E1
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    Warning: Falling back to standard tex;
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2adec
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    e {\displaystyle{\displaystyle\mathrm{e}}}
    C4.S2.E11.m2adec
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    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    C1.S9.E1.m2adec
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    m 𝑚 {\displaystyle{\displaystyle m}}
    C20.S1.XMD1.m1dec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C20.S1.XMD2.m1dec
    0 references