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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