A note on the distribution of the number of prime factors of the integers
نویسنده
چکیده
The Chernoff-Hoeffding bounds are fundamental probabilistic tools. An elementary approach is presented to obtain a Chernoff-type upper-tail bound for the number of prime factors of a random integer in {1, 2, . . . , n}. The method illustrates tail bounds in negatively-correlated settings.
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ورودعنوان ژورنال:
- Inf. Process. Lett.
دوره 109 شماره
صفحات -
تاریخ انتشار 2008