论文标题

$ a^x + b^y = c^z $的解决方案数,一个较短的版本

Number of solutions to $a^x + b^y = c^z$, A Shorter Version

论文作者

Scott, Reese, Styer, Robert

论文摘要

对于相对主要的整数$ a $和$ b $,均大于一个和奇数整数$ c $,最多有两个解决方案在正整数中$(x,y,z)$ to equation $ a^x + b^y = c^z $。有无限的$(a,b,c)$提供了两种解决方案。

For relatively prime integers $a$ and $b$ both greater than one and odd integer $c$, there are at most two solutions in positive integers $(x,y,z)$ to the equation $a^x + b^y = c^z$. There are an infinite number of $(a,b,c)$ giving exactly two solutions.

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