@article {IOPORT.00634043,
    author       = {Kolchin, A.V.},
    title        = {Equations in unknown permutations.},
    year         = {1994},
    journal      = {Discrete Mathematics and Applications},
    volume       = {4},
    number       = {1},
    issn         = {0924-9265},
    pages        = {59-71},
    publisher    = {Walter de Gruyter, Berlin},
    doi          = {10.1515/dma.1994.4.1.59},
    abstract     = {The author investigates the asymptotic behaviour of the number of permutations $X$, which are solutions of the equation $X\sp d= e$ with $e$ as the identity permutation of degree $n$. The results are given for $d\to \infty$ in such a way that $d/n\to 0$ if $d$ is a prime number respectively $d\log\log n/\log n\to \infty$ if $d$ is some general number. The results on the asymptotic behaviour are obtained by establishing a connection of random permutations with the probability distribution of a sum of some appropriate random variables.},
    reviewer     = {W.Schlee (M\"unchen)},
    identifier   = {00634043},
}