Jacobi Symbol


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Jacobi Symbol

 

the symbol (n/P), representing a generalization of the Legendre symbol in the case of the composite modulus P. It was introduced by K. Jacobi in 1837. (SeeQUADRATIC RESIDUE.)

References in periodicals archive ?
Keywords Quartic residue, quartic Jacobi symbol, binary quadratic form, class number.
In section 2 we recall and state some basic facts concerning quartic residue characters and qudratic forms, which are necessary for computing the quartic Jacobi symbol.
For [alpha] [member of] Z[i] such that ([alpha], [pi]) = 1, the quartic Jacobi symbol is defined by [([alpha]/[pi]).