王永亮. Fermat型方程在一实二次域中的解[J]. 华南师范大学学报(自然科学版), 2009, 1(4): 26-28 .
引用本文: 王永亮. Fermat型方程在一实二次域中的解[J]. 华南师范大学学报(自然科学版), 2009, 1(4): 26-28 .
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 .

Fermat型方程在一实二次域中的解

On Solutions of Fermat Equations in a real quadratic field

  • 摘要: 确定了几个重要的不定方程在一个实二次域的整数环中的解,指出了费尔玛方程当n等于4时在此环中也没有非平凡解.

     

    Abstract: 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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