Category:Legendre Symbol
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This category contains results about the Legendre symbol.
Definitions specific to this category can be found in Definitions/Legendre Symbol.
Let $p$ be an odd prime.
Let $a \in \Z$ be an integer.
The Legendre symbol $\paren {\dfrac a p}$ is defined as:
| \(\ds 0 \) | if $a \equiv 0 \pmod p$ | ||||||||
| \(\ds 1 \) | if $a$ is a quadratic residue of $p$ | ||||||||
| \(\ds -1 \) | if $a$ is a quadratic non-residue of $p$ |
Subcategories
This category has the following 2 subcategories, out of 2 total.
E
L
- Law of Quadratic Reciprocity (13 P)
Pages in category "Legendre Symbol"
The following 9 pages are in this category, out of 9 total.