JacobiSymbol

JacobiSymbol[n,m]

gives the Jacobi symbol .

Details

  • Integer mathematical function, suitable for both symbolic and numerical manipulation.
  • For prime m, the Jacobi symbol reduces to the Legendre symbol. The Legendre symbol is equal to depending on whether n is a quadratic residue modulo m.
  • JacobiSymbol automatically threads over lists.

Examples

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Basic Examples  (2)

Compute Jacobi symbols:

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Plot the sequence wrt the last argument:

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Scope  (3)

Generalizations & Extensions  (2)

Applications  (5)

Properties & Relations  (1)

Neat Examples  (1)

See Also

KroneckerSymbol  FactorInteger  MoebiusMu  DirichletCharacter

Tutorials

Introduced in 1988
(1.0)