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Euclid 域中Diophantus 方程的整数解

邬毅 龙兰

数学杂志Issue(4):1012-1016,5.
数学杂志Issue(4):1012-1016,5.

Euclid 域中Diophantus 方程的整数解

THE INTEGER SOLUTIONS OF DIOPHANTINE EQUATION ON THE EUCLIDEAN FIELD

邬毅 1龙兰1

作者信息

  • 1. 重庆科技学院数理学院,重庆 401331
  • 折叠

摘要

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].

关键词

整数解/Diophantus方程/Euclid域

Key words

integer solution/Diophantine equation/Euclidean field

分类

数理科学

引用本文复制引用

邬毅,龙兰..Euclid 域中Diophantus 方程的整数解[J].数学杂志,2015,(4):1012-1016,5.

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 ()

数学杂志

OA北大核心CSCDCSTPCD

0255-7797

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