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Transactions of the American Mathematical Society

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Ordered cycle lengths in a random permutation

Authors: L. A. Shepp and S. P. Lloyd
Journal: Trans. Amer. Math. Soc. 121 (1966), 340-357
MSC: Primary 60.10
MathSciNet review: 0195117
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  • [1] John Riordan, An introduction to combinatorial analysis, Wiley Publications in Mathematical Statistics, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1958. MR 0096594
  • [2] W. Gontcharoff, Sur la distribution des cycles dans les permutations, C. R. (Doklady) Acad. Sci. URSS (N.S.) 35 (1942), 267–269. MR 0007207
  • [3] -, Du domaine d'analyse combinatoire, Bull. Acad. Sci. USSR Ser. Mat. (Izv. Akad. Nauk SSSR) 8 (1944), 3-48; Amer. Math. Soc. Transl. (2) 19 (1962), 1-46.
  • [4] S. W. Golomb, L. R. Welch and R. M. Goldstein, Cycles from nonlinear shift registers Progress Rep. No. 20-389, Jet Propulsion Laboratory, California Institute of Technology, Pasadena, Calif., 1959.
  • [5] S. W. Golomb, Random permutations, Bull. Amer. Math. Soc. 70 (1964), 747.
  • [6] E. T. Whittaker and G. N. Watson, Modern analysis, Cambridge Univ. Press, New York, 1948.
  • [7] N. G. de Bruijn, Asymptotic methods in analysis, North-Holland, Amsterdam, 1961.
  • [8] Gustav Doetsch, Theorie und Anwendung der Laplace-Transformation, Dover Publication, N. Y., 1943 (German). MR 0009225
  • [9] Mark Kac, Probability and related topics in physical sciences, With special lectures by G. E. Uhlenbeck, A. R. Hibbs, and B. van der Pol. Lectures in Applied Mathematics. Proceedings of the Summer Seminar, Boulder, Colo., vol. 1957, Interscience Publishers, London-New York, 1959. MR 0102849

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Article copyright: © Copyright 1966 American Mathematical Society