id: 00634043
dt: j
an: 00634043
au: Kolchin, A.V.
ti: Equations in unknown permutations.
so: Discrete Math. Appl. 4, No.1, 59-71 (1994); translation from Diskretn. Mat.
    6, No.1, 100-115 (1994).
py: 1994
pu: Walter de Gruyter, Berlin
la: EN
cc: 
ut: asymptotic behaviour; permutations; probability distribution
ci: 
li: doi:10.1515/dma.1994.4.1.59
ab: 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.
rv: W.Schlee (München)