Zolotarev's proof of Gauss reciprocity and Jacobi symbols


Autoria(s): Szyjewski, Marek
Data(s)

24/07/2016

24/07/2016

2011

Resumo

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.

Identificador

Serdica Mathematical Journal, Vol. 37, No 3, (2011), 251p-260p

1310-6600

http://hdl.handle.net/10525/2734

Idioma(s)

en

Publicador

Institute of Mathematics and Informatics Bulgarian Academy of Sciences

Palavras-Chave #Jacobi Symbol #Gauss Reciprocity #Permutations
Tipo

Article