On joint distribution of the Riemann zeta-function.

In the paper, a multiplicative version of the distribution of the vector (|ζ(s)|, ζ(s)), where ζ(s) is the Riemann zeta-function, is considered and probabilistic limit theorems are obtained. The dependence between |ζ(s)| and ζ(s) in terms of m-characteristic transforms is also discussed. [ABSTRACT FROM AUTHOR]