Definition:Legendre Symbol/Also presented as
Jump to navigation
Jump to search
Legendre Symbol: Also presented as
For a given odd prime $p$, the Legendre symbol can be treated as a mapping:
- $f_p: \Z \to \set {-1, 0, 1}$
Some sources define it casually as a mapping $f : \mathbb P_{\ge 3} \times \Z \to \set {-1, 0, 1}$.
The only really complicated thing about this is its notation.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Legendre symbol
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Legendre symbol