Zolotarev's proof of Gauss reciprocity and Jacobi symbols
Szyjewski, Marek (2011)
Serdica Mathematical Journal
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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.