# Zolotarev's proof of Gauss reciprocity and Jacobi symbols

Serdica Mathematical Journal (2011)

- Volume: 37, Issue: 3, page 251-260
- ISSN: 1310-6600

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topSzyjewski, Marek. "Zolotarev's proof of Gauss reciprocity and Jacobi symbols." Serdica Mathematical Journal 37.3 (2011): 251-260. <http://eudml.org/doc/281577>.

@article{Szyjewski2011,

abstract = {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.},

author = {Szyjewski, Marek},

journal = {Serdica Mathematical Journal},

keywords = {Jacobi Symbol; Gauss Reciprocity; Permutations; Jacobi symbol; Gauss reciprocity; permutations},

language = {eng},

number = {3},

pages = {251-260},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Zolotarev's proof of Gauss reciprocity and Jacobi symbols},

url = {http://eudml.org/doc/281577},

volume = {37},

year = {2011},

}

TY - JOUR

AU - Szyjewski, Marek

TI - Zolotarev's proof of Gauss reciprocity and Jacobi symbols

JO - Serdica Mathematical Journal

PY - 2011

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 37

IS - 3

SP - 251

EP - 260

AB - 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.

LA - eng

KW - Jacobi Symbol; Gauss Reciprocity; Permutations; Jacobi symbol; Gauss reciprocity; permutations

UR - http://eudml.org/doc/281577

ER -

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