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DLMF:27.9.E3 - MaRDI portal

DLMF:27.9.E3 (Q8750)

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DLMF:27.9.E3
No description defined

    Statements

    DLMF defining formula
    ( 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
    constraint
    p , q 𝑝 𝑞 {\displaystyle{\displaystyle p,q}}
    0 references
    Symbols used
    Q12257
    DLMF defining formula
    ( n | p ) Legendre-symbol 𝑛 𝑝 {\displaystyle{\displaystyle(\NVar{n}|\NVar{p})}}
    xml-id
    C27.S9.m1abdec
    0 references
    odd prime
    DLMF defining formula
    p 𝑝 {\displaystyle{\displaystyle p}}
    xml-id
    C27.S9.XMD1.m1bdec
    0 references
    odd prime
    DLMF defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C27.S9.XMD2.m1dec
    0 references

    Identifiers

     
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