Geodesic
Zolotarev's proof of Gauss reciprocity and Jacobi symbols
Serdica Mathematical Journal, Tome 37 (2011) no. 3, pp. 251-260

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

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.
Keywords: Jacobi Symbol, Gauss Reciprocity, Permutations 
@article{SMJ2_2011_37_3_a5,
     author = {Szyjewski, Marek},
     title = {Zolotarev's proof of {Gauss} reciprocity and {Jacobi} symbols},
     journal = {Serdica Mathematical Journal},
     pages = {251--260},
     publisher = {mathdoc},
     volume = {37},
     number = {3},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_2011_37_3_a5/}
}
TY  - JOUR
AU  - Szyjewski, Marek
TI  - Zolotarev's proof of Gauss reciprocity and Jacobi symbols
JO  - Serdica Mathematical Journal
PY  - 2011
SP  - 251
EP  - 260
VL  - 37
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SMJ2_2011_37_3_a5/
LA  - en
ID  - SMJ2_2011_37_3_a5
ER  - 
%0 Journal Article
%A Szyjewski, Marek
%T Zolotarev's proof of Gauss reciprocity and Jacobi symbols
%J Serdica Mathematical Journal
%D 2011
%P 251-260
%V 37
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SMJ2_2011_37_3_a5/
%G en
%F SMJ2_2011_37_3_a5
Szyjewski, Marek. Zolotarev's proof of Gauss reciprocity and Jacobi symbols. Serdica Mathematical Journal, Tome 37 (2011) no. 3, pp. 251-260. http://geodesic.mathdoc.fr/item/SMJ2_2011_37_3_a5/