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The value distribution of arithmetic functions and maximum of independent random variables

✍ Scribed by V. Stakenas


Publisher
Springer
Year
1992
Tongue
English
Weight
219 KB
Volume
31
Category
Article
ISSN
0363-1672

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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

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## 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,