journal6 ›› 2011, Vol. 32 ›› Issue (5): 1-8.

• 数学 •    下一篇

关于广义商高数的三项指数Diophantine方程

  

  1. (湛江师范学院数学系,广东 湛江 524048)
  • 出版日期:2011-09-25 发布日期:2012-04-06

On the Ternary Exponential Diophantine Equation for Generalized Pythagorean Triplets

  1. (Department of Mathematics,Zhanjiang Normal College,Zhanjiang  524048,Guangdong China)
  • Online:2011-09-25 Published:2012-04-06
  • About author:LE Mao-hua(1952-),male,was born in Shanghai City,professor;research area is number theory.
  • Supported by:

    National Natural Science Foundation of China (10771186;10971184)

摘要:运用Gel’fond-Baker 方法讨论了三项指数Diophantine方程的正整数解,基本上解决了n=1时的情况.

关键词: 三项指数Diophantine方程, 广义商高数:Gel&rsquo, fond-Baker方法

Abstract: Using the Gel’fond-Baker method,the positive integer solutions of the ternary exponential diophantine equation are discussed,and the case of n=1 is basic solved.

Key words: ternary exponential Diophantine equation, generalized Pythagorean triplet, Gel&rsquo, fond-Baker method

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