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Zolotarev's proof of Gauss reciprocity and Jacobi symbols

Szyjewski, Marek (2011)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: Primary 11A15.We extend to the Jacobi symbol Zolotarev's idea that the Legendre symbol is the sign of a permutation, which leads to simple, strightforward proofs of many results, the proof of the Gauss Reciprocity for Jacobi symbols including.

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