DLMF:27.14.E10 (Q8109): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older edit
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
(5 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q12093 / rank
 
Normal rank
Property / Symbols used: Q12093 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \pgcd{\NVar{m},\NVar{n}}}

\pgcd{\NVar{m},\NVar{n}}
Property / Symbols used: Q12093 / qualifier
 
xml-id: C27.S1.p2.t1.r3.m6adec
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.m2adec
Property / Symbols used
 
Property / Symbols used: Q12238 / rank
 
Normal rank
Property / Symbols used: Q12238 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle k}

k
Property / Symbols used: Q12238 / qualifier
 
xml-id: C27.S1.XMD2.m1edec
Property / Symbols used
 
Property / Symbols used: Q12234 / rank
 
Normal rank
Property / Symbols used: Q12234 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}

n
Property / Symbols used: Q12234 / qualifier
 
xml-id: C27.S1.XMD4.m1fdec
Property / Symbols used
 
Property / Symbols used: Q12266 / rank
 
Normal rank
Property / Symbols used: Q12266 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A_{k}(n)}

A_{k}(n)
Property / Symbols used: Q12266 / qualifier
 
xml-id: C27.S14.XMD2.m1adec
Property / Symbols used
 
Property / Symbols used: Dedekind sum (locally) / rank
 
Normal rank
Property / Symbols used: Dedekind sum (locally) / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle s(h,k)}

s(h,k)
Property / Symbols used: Dedekind sum (locally) / qualifier
 
xml-id: C27.S14.XMD3.m1dec

Latest revision as of 14:31, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:27.14.E10
No description defined

    Statements

    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A_{k}(n)=\sum_{\begin{subarray}{c}h=1\\ \pgcd{h,k}=1\end{subarray}}^{k}\exp@{\cpi\iunit s(h,k)-2\cpi\iunit n\frac{h}{k}},}
    0 references
    DLMF id
    DLMF:27.14.E10
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
    xml-id
    C3.S12.E1.m2aadec
    0 references
    exponential function
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \exp@@{\NVar{z}}}
    xml-id
    C4.S2.E19.m2adec
    0 references
    Q12093
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \pgcd{\NVar{m},\NVar{n}}}
    xml-id
    C27.S1.p2.t1.r3.m6adec
    0 references
    imaginary unit
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}
    xml-id
    C1.S9.E1.m2adec
    0 references
    Q12238
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle k}
    xml-id
    C27.S1.XMD2.m1edec
    0 references
    Q12234
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}
    xml-id
    C27.S1.XMD4.m1fdec
    0 references
    Q12266
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A_{k}(n)}
    xml-id
    C27.S14.XMD2.m1adec
    0 references
    Dedekind sum (locally)
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle s(h,k)}
    xml-id
    C27.S14.XMD3.m1dec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q8109&oldid=47961"