journal6 ›› 2011, Vol. 32 ›› Issue (3): 4-7.

• Mathematics • Previous Articles     Next Articles

Upper Bounds for Solutions of the Lebesgue-Nagell Equation

  

  1. (Department of Mathematics,Zhanjiang Normal College,Zhanjiang  524048,Guangdong China)
  • Online:2011-05-25 Published:2012-04-08
  • 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 a lower bound for two logarithms in the complex case,some exact upper bounds for positive integer solutions of the Lebesgue-Nagell equation are obtained.

Key words: exponential Diophantine equation, positive integer solution, upper bound, Gel&rsquo, fond-Baker method

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