DLMF:20.11.E2 (Q6843): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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| (4 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: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}\expe | |||
| Property / Symbols used: base of natural logarithm / qualifier | |||
xml-id: C4.S2.E11.m2aadec | |||
| Property / Symbols used | |||
| Property / Symbols used: imaginary unit / rank | |||
Normal rank | |||
| Property / Symbols used: imaginary unit / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}\iunit | |||
| Property / Symbols used: imaginary unit / qualifier | |||
xml-id: C1.S9.E1.m2aadec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11951 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11951 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}m | |||
| Property / Symbols used: Q11951 / qualifier | |||
xml-id: C20.S1.XMD1.m1adec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11947 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11947 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}n | |||
| Property / Symbols used: Q11947 / qualifier | |||
xml-id: C20.S1.XMD2.m1adec | |||
| Property / Symbols used | |||
| Property / Symbols used: Gauss sum (locally) / rank | |||
Normal rank | |||
| Property / Symbols used: Gauss sum (locally) / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle G(m,n)}G(m,n) | |||
| Property / Symbols used: Gauss sum (locally) / qualifier | |||
xml-id: C20.S11.XMD1.m1adec | |||
Latest revision as of 14:43, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:20.11.E2 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{1}{\sqrt{n}}G(m,n)=\frac{1}{\sqrt{n}}\sum\limits_{k=0}^{n-1}e^{-\pi ik^{2}m/n}=\frac{e^{-\pi i/4}}{\sqrt{m}}\sum\limits_{j=0}^{m-1}e^{\pi ij^{2}n/m}=\frac{e^{-\pi i/4}}{\sqrt{m}}G(-n,m).}
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DLMF:20.11.E2
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Warning: Falling back to standard tex;
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
C3.S12.E1.m2aadec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}
C4.S2.E11.m2aadec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}
C1.S9.E1.m2aadec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
C20.S1.XMD1.m1adec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}
C20.S1.XMD2.m1adec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle G(m,n)}
C20.S11.XMD1.m1adec
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