DLMF:27.9.E1 (Q8055)

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DLMF:27.9.E1
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    Statements

    Defining formula
    ( - 1 | p ) = ( - 1 ) ( p - 1 ) / 2 , Legendre-symbol 1 𝑝 superscript 1 𝑝 1 2 {\displaystyle{\displaystyle(-1|p)=(-1)^{(p-1)/2},}}
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    DLMF id
    DLMF:27.9.E1
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    constraint
    p 𝑝 {\displaystyle{\displaystyle p}}
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    Symbols used
    Q12254
    Defining formula
    ( n | p ) Legendre-symbol 𝑛 𝑝 {\displaystyle{\displaystyle(\NVar{n}|\NVar{p})}}
    xml-id
    C27.S9.m1adec
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    Q12255
    Defining formula
    p 𝑝 {\displaystyle{\displaystyle p}}
    xml-id
    C27.S9.XMD1.m1dec
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