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Built-in Functions

Mathematical Functions

Number Theory

JacobiSymbol

Usage

• JacobiSymbol[n, m] gives the Jacobi symbol .

Notes

• Integer mathematical function (see Section A.3.10).

• For prime

, the Jacobi symbol reduces to the Legendre symbol. The Legendre symbol is equal to

depending on whether

is a quadratic residue modulo

.

• See Section 3.2.5.

• See also: FactorInteger, MoebiusMu.

• New in Version 1.

Further Examples

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