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 July 21st, 2010, 03:03 PM #1 Senior Member   Joined: Dec 2006 Posts: 166 Thanks: 3 Probability of finite p-adic numbers within rationals Given integer $p > 1$, find the probability of the event that randomly take a number in rationals $Q$, it can be expressed as a finite sum $\sum_{k=m}^n a_k p^k$, where $m,n \in Z,\; m \le n, \; 0 \le a_k < p$

 Tags finite, numbers, padic, probability, rationals