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In number theory, the Erdős arcsine law, named after Paul Erdős, states that the prime divisors of a number have a distribution related to the arcsine distribution. Specifically, say that the ''j''th prime factor ''p'' of a given number ''n'' (in the sorted sequence of distinct prime factors) is "small" when . Then, for any fixed parameter ''u'', in the limit as ''x'' goes to infinity, the proportion of the integers ''n'' less than ''x'' that have fewer than small prime factors converges to : ==References== * 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Erdős arcsine law」の詳細全文を読む スポンサード リンク
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