DLMF:27.9.E3 (Q8057)

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DLMF:27.9.E3
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    Statements

    test
    ( p | q ) ⁢ ( q | p ) = ( - 1 ) ( p - 1 ) ⁢ ( q - 1 ) / 4 . Legendre-symbol 𝑝 𝑞 Legendre-symbol 𝑞 𝑝 superscript 1 𝑝 1 𝑞 1 4 {\displaystyle{\displaystyle(p|q)(q|p)=(-1)^{(p-1)(q-1)/4}.}}
    0 references
    DLMF id
    DLMF:27.9.E3
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    constraint
    p , q 𝑝 𝑞 {\displaystyle{\displaystyle p,q}}
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    Symbols used
    Q12254
    test
    ( n | p ) Legendre-symbol 𝑛 𝑝 {\displaystyle{\displaystyle(\NVar{n}|\NVar{p})}}
    xml-id
    C27.S9.m1abdec
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