| 範例 08：a的n次方首位數字 |
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| 《 解答 》 |
| Problem： ， ， ，
and set  ， ， .
We want to prove that
Definition：
Lemma：
Proof： ,
if  ,
 .（→←）
Theorem： has
uniform distribution in (0,1).
見Hardy and Wright, An Introduction to the Theory
of Numbers. P390, 定理445. |
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