论文标题

与两个斐波那契数的幂差有关的指数二元方程

An exponential Diophantine equation related to the difference of powers of two Fibonacci numbers

论文作者

Şiar, Zafer

论文摘要

在本文中,我们证明没有x> = 4,因此两个连续的斐波那契数的x差异大于0是卢卡斯号。

In this paper, we prove that there is no x>=4 such that the difference of x-th powers of two consecutive Fibonacci numbers greater than 0 is a Lucas number.

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