The value distribution of arithmetic functions and maximum of independent random variables
β Scribed by V. Stakenas
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 219 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0363-1672
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In part II of a series of articles on the least common multiple, the central object of investigation was a particular integer-valued arithmetic function g 1 (n). The most interesting problem there was the value distribution of g 1 (n). We proved that the counting function card[n x: g 1 (n) d ] has o
## I. fntFoduction Let {X,,, n 2 1) be a sequence of independent random variables, P, and f, the distribution function and the characteristic fundion of the X,, respectively. Let us put SN = 2 X,, where N is a pasitive integer-valued random variable independent of X,, ?t 2 1. Furthermore, let { P,