Function: kronecker Section: number_theoretical C-Name: kronecker Prototype: lGG Help: kronecker(x,y): kronecker symbol (x/y). Description: (small, small):small kross($1, $2) (int, small):small krois($1, $2) (small, int):small krosi($1, $2) (gen, gen):small kronecker($1, $2) Doc: \idx{Kronecker symbol} $(x|y)$, where $x$ and $y$ must be of type integer. By definition, this is the extension of \idx{Legendre symbol} to $\Z \times \Z$ by total multiplicativity in both arguments with the following special rules for $y = 0, -1$ or $2$: \item $(x|0) = 1$ if $|x| = 1$ and $0$ otherwise. \item $(x|-1) = 1$ if $x \geq 0$ and $-1$ otherwise. \item $(x|2) = 0$ if $x$ is even and $1$ if $x = 1,-1 \mod 8$ and $-1$ if $x=3,-3 \mod 8$.