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[obm-l] Ra�z n m�dulo m

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Subject: [obm-l] Ra�z n m�dulo m
From: "Eduardo Casagrande Stabel" <dudastabel@xxxxxxxxx>
Date: Fri, 18 Aug 2006 14:21:12 -0300
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Ol�,

PROBLEMA. Seja n > 2 um inteiro e a um inteiro qualquer. Mostrar que se a congru�ncia x^n == a (mod m) possui solu��o para qualquer m > 1 inteiro, ent�o a possui raiz n-�sima nos inteiros.

O caso n = 2 � tamb�m um exerc�cio interessante. Conhe�o uma solu��o que usa o s�mbolo de Legendre e a reciprocidade quadr�tica de Gauss.

Abra�o,
Duda

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dudastabel@gmail.com
http://paginas.terra.com.br/arte/dudastabel/

References:
- [obm-l] Ra�z n m�dulo m
  - From: Eduardo Casagrande Stabel

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