KroneckerSymbol

The Kronecker symbol (a/n): the Jacobi symbol extended to every integer n.

FungrimKroneckerSymbol↗Wolfram LanguageKroneckerSymbol↗

KroneckerSymbol(a, n)the Kronecker symbol .

Domain: Number theory

Details

• Agrees with JacobiSymbol wherever is odd and positive, and with LegendreSymbol where is also prime — this is the head above both.
• if , else 0; if , if .
• for even ; if ; if — this is the piece Jacobi's odd- restriction leaves out.
• Completely multiplicative in : .
• Bignum-safe: both arguments may exceed the double-precision range.

Examples

See also: JacobiSymbol, LegendreSymbol