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16 May 2024
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N 23:39 | Definition:Legendre Symbol/Also known as 4 changes history +708 [Prime.mover (4×)] | |||
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20:57 (cur | prev) +832 Prime.mover talk contribs (Created page with "== Legendre Symbol: Also known as == <onlyinclude> The '''Legendre symbol''' for fixed prime $p$ is also known as the '''quadratic character''' modulo $p$. </onlyinclude> == Sources == {{SourceReview}} * {{BookReference|The Penguin Dictionary of Mathematics|1998|David Nelson|ed = 2nd|edpage = Second Edition|prev = Symbols:P/Associated Legendre...") |
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N 23:32 | Definition:Legendre Symbol/Also presented as 9 changes history +981 [Prime.mover (9×)] | |||
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20:58 (cur | prev) +794 Prime.mover talk contribs (Created page with "== Legendre Symbol: Also presented as == <onlyinclude> For a given $p$, the '''Legendre symbol''' can be treated as a mapping: :$f_p: \Z \to \set {-1, 0, 1}$ </onlyinclude> == Sources == {{SourceReview}} * {{BookReference|The Penguin Dictionary of Mathematics|1998|David Nelson|ed = 2nd|edpage = Second Edition|prev = Symbols:P/Associated Legendre Function|next = Mathematician:Gottfrie...") |
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N 23:26 | Legendre Symbol/Examples/3 over 7 2 changes history +941 [Prime.mover (2×)] | |||
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23:26 (cur | prev) +940 Prime.mover talk contribs (Created page with "== Example of Use of Legendre Symbol == <onlyinclude> :$\paren {\frac 3 7} = -1$ </onlyinclude> == Proof == From Quadratic Residue Examples: $7$: {{:Quadratic Residue/Examples/7}} That is, $3$ is not a quadratic residue of $7$. Hence the result by definition of '''Legendre symbol'''. {{qed}} == Sources == * {{BookReference|The Penguin Dic...") |
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N 23:26 | Legendre Symbol/Examples/2 over 7 2 changes history +962 [Prime.mover (2×)] | |||
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23:26 (cur | prev) +961 Prime.mover talk contribs (Created page with "== Example of Use of Legendre Symbol == <onlyinclude> :$\paren {\frac 2 7} = 1$ </onlyinclude> == Proof == From Quadratic Residue Examples: $7$: {{:Quadratic Residue/Examples/7}} That is, $2$ is a quadratic residue of $7$: :$2^2 \equiv 4 \pmod 7$ Hence the result by definition of '''Legendre symbol'''. {{qed}} == Sources == * {{BookRefere...") |
N 23:18 | Legendre Symbol/Examples diffhist +379 Prime.mover talk contribs (Created page with "== Examples of Use of Legendre Symbol == <onlyinclude> === Example: $\paren {\frac 2 7}$ === {{:Legendre Symbol/Examples/2 over 7}} === Example: $\paren {\frac 3 7}$ === {{:Legendre Symbol/Examples/3 over 7}}</onlyinclude> Category:Examples of Use of Legendre Symbol") |
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23:11 | Definition:Quadratic Residue 2 changes history −544 [Prime.mover (2×)] | |||
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22:32 | Definition:Legendre Symbol/Definition 1 2 changes history +103 [Prime.mover (2×)] | |||
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21:11 | Definition:Legendre Symbol/Definition 2 2 changes history +543 [Prime.mover (2×)] | |||
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15:54 | Mathematician:Adrien-Marie Legendre 3 changes history +66 [Prime.mover (3×)] | |||
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