论文标题
关于皮莱（Pillai
On the multiplicity in Pillai's problem with Fibonacci numbers and powers of a fixed prime
论文作者
论文摘要
令$ \ {f_n \} _ {n \ ge 0} $为fibonacci数字的序列，让$ p $为prime。对于整数$ c $，我们写$ m_ {f，p}（c）$，用于$ c $的不同表示的数量为$ f_k-p^\ ell $，$ k \ ge 2 $和$ \ el \ ell \ ge 0 $。我们证明$ m_ {f，p}（c）\ le 4 $。
Let $ \{F_n\}_{n\ge 0} $ be the sequence of Fibonacci numbers and let $p$ be a prime. For an integer $c$ we write $m_{F,p}(c)$ for the number of distinct representations of $c$ as $F_k-p^\ell$ with $k\ge 2$ and $\ell\ge 0$. We prove that $m_{F,p}(c)\le 4$.
