DLMF:27.9.E1 (Q8055): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q12254 / rank
 
Normal rank
Property / Symbols used: Q12254 / qualifier
 
Defining formula:

( n | p ) Legendre-symbol 𝑛 𝑝 {\displaystyle{\displaystyle(\NVar{n}|\NVar{p})}}

\Legendresym{\NVar{n}}{\NVar{p}}
Property / Symbols used: Q12254 / qualifier
 
xml-id: C27.S9.m1adec

Revision as of 14:22, 2 January 2020

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DLMF:27.9.E1
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    Statements

    ( - 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:27.9.E1
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    p 𝑝 {\displaystyle{\displaystyle p}}
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    ( n | p ) Legendre-symbol 𝑛 𝑝 {\displaystyle{\displaystyle(\NVar{n}|\NVar{p})}}
    C27.S9.m1adec
    0 references