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 Mat. Sb. (N.S.), 1982, Volume 117(159), Number 2, Pages 239–250 (Mi msb2201)

On the limit distribution of the number of solutions of the equation $x^k=a$ in the symmetric group $S_n$

A. I. Pavlov

Abstract: The limit distribution of the number of solutions of the equation $x^k=a$ as $n\to\infty$ is investigated for a fixed integer $k\geqslant2$, where $a$ is in the symmetric group $S_n$ of degree $n$.
Bibliography: 2 titles.

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English version:
Mathematics of the USSR-Sbornik, 1983, 45:2, 243–255

Bibliographic databases:

UDC: 519.21
MSC: 20B30, 60C05, 60E99, 60F05

Citation: A. I. Pavlov, “On the limit distribution of the number of solutions of the equation $x^k=a$ in the symmetric group $S_n$”, Mat. Sb. (N.S.), 117(159):2 (1982), 239–250; Math. USSR-Sb., 45:2 (1983), 243–255

Citation in format AMSBIB
\Bibitem{Pav82} \by A.~I.~Pavlov \paper On the limit distribution of the number of solutions of the equation $x^k=a$ in the symmetric group $S_n$ \jour Mat. Sb. (N.S.) \yr 1982 \vol 117(159) \issue 2 \pages 239--250 \mathnet{http://mi.mathnet.ru/msb2201} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=644771} \zmath{https://zbmath.org/?q=an:0509.20005} \transl \jour Math. USSR-Sb. \yr 1983 \vol 45 \issue 2 \pages 243--255 \crossref{https://doi.org/10.1070/SM1983v045n02ABEH002597}