[tex]\begin{gathered}(adsbygoogle = window.adsbygoogle || []).push({});

\forall p,q,r \in \mathbb{N}\;{\text{where }}p > q > 0, \hfill \\

\exists \left\{ {a_0 ,a_1 , \ldots ,a_n } \right\} \subset \left\{ {0,1, \ldots ,p - 1} \right\} \hfill \\

{\text{such that }}r = \sum\limits_{k = 0}^n {a_k \left( {\frac{p}

{q}} \right)^k } \hfill \\

\end{gathered} [/tex]

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# True or False?

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