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On Solutions of Fermat Equations in a real quadratic field[J]. Journal of South China Normal University (Natural Science Edition), 2009, 1(4): 26-28 .
Citation: On Solutions of Fermat Equations in a real quadratic field[J]. Journal of South China Normal University (Natural Science Edition), 2009, 1(4): 26-28 .

On Solutions of Fermat Equations in a real quadratic field

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  • Received Date: December 25, 2008
  • Revised Date: September 13, 2009
  • All solutions of several important Diophantine equations are determined in a real quadratic field, which implies that the Fermat equation has no non-trivial solutions in this ring when n=4.

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