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

• Mathematics •     Next Articles

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)

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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