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The Quadratic Reciprocity of Polynomials Modulo p


     

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The usual theory of quadratic residues can be extended in all its aspects to polynomials with integral co-efficients modulo p, p being an odd prime. Namely, if f(x), F(x) are two polynomials, which are mutually prime mod. p, we say that f(x) is a quadratic residue of F(x) mod.
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  • The Quadratic Reciprocity of Polynomials Modulo p

Abstract Views: 228  |  PDF Views: 0

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Abstract


The usual theory of quadratic residues can be extended in all its aspects to polynomials with integral co-efficients modulo p, p being an odd prime. Namely, if f(x), F(x) are two polynomials, which are mutually prime mod. p, we say that f(x) is a quadratic residue of F(x) mod.