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| 摘要: |
| 本文研究了两个典型Diophantus方程的整数解的问题.利用二次域中的重要理论和二次代数整数环中算术基本定理,获得了两个典型Diophantus方程在Euclid域中的所有整数解,推广了文献[6]的结果. |
| 关键词: 整数解 Diophantus方程 Euclid域 |
| DOI： |
| 分类号:O156.7 |
| 基金项目:重庆科技学院优秀中青年骨干教师公派出国(境)深造项目(2012). |
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| THE INTEGER SOLUTIONS OF DIOPHANTINE EQUATION ON THE EUCLIDEAN FIELD |
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WU Yi,LONG Lan
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| Abstract: |
| In this paper,we study the integer solutions of two typical Diophantine equations with some important theories in quadratic fields and the fundamental theorem of arithmetic in the ring of quadratic algebraic integers.We prove all the integer solutions of these two Diophantine equations and generalize some results of reference [6]. |
| Key words: integer solution Diophantine equation Euclidean field |
