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Additive and multiplicative functions on random permutations

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References

  1. P. D. T. A. Elliott,Probabilistic Number Theory. I, II, Springer-Verlag, New York (1979/80).

    MATH  Google Scholar 

  2. P. ErdÕs and P. Turán, On some problems of a statistical group theory I,Z. für Wahr. verw. Gebiete,4, 175–186 (1965).

    Article  Google Scholar 

  3. V. L. Goncharov, On the distribution of cycles in permutations,Dokl. Acad. Nauk SSSR,35, 299–301 (1942).

    Google Scholar 

  4. G. Halász, über die Mittelwerte multiplikativer zahlentheoretischer Funktionen,Acta Math. Acad. Sci. Hung.,19, 365–403 (1968).

    Article  MATH  Google Scholar 

  5. K.-H. Indlekofer and E. Manstavičius, Additive and multiplicative functions on arithmetical semigroups,Publicationes Mathematicae Debrecen,45, 1–17 (1994).

    MathSciNet  MATH  Google Scholar 

  6. V. F. Kolchin,Random Mappings, Optimization Software, Inc., New York (1986).

    MATH  Google Scholar 

  7. V. F. Kolchin and V. P. Chistyakov, On the cycle structure of random permutations,Matem. Zametki,18(6), 929–938 (1975).

    Google Scholar 

  8. J. Kubilius,Probabilistic Methods in the Theory of Numbers, Translations of Math. Monographs, vol. 11, Amer. Math. Soc., Providence, RI (1964).

    MATH  Google Scholar 

  9. J. L. Nicolas, Distribution statistique de l’ordre d’un element du groupe symetrique,Acta Math. Hung.,45, 84–96 (1985).

    Article  MathSciNet  Google Scholar 

  10. V. V. Petrov,Sums of Independent Random Variables [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  11. N. M. Timofeev, Stable limit laws for additive arithmetic functions,Matem. Zametki,37(4), 465–473 (1985).

    MathSciNet  Google Scholar 

  12. A. M. Vershik, Asymptotic combinatorics and algebraic analysis, in:Proceedings of the International Congress of Mathematicians, Zürich, 1994, BirkhÄuser, Basel (1995), pp. 1384–1394.

    Google Scholar 

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Supported by the Lithuanian State Science and Studies Fund.

Translated from Lietuvos Matematikos Rinkinys, Vol. 36, No. 4, pp. 501–511, October–December, 1996.

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Manstavičius}, E. Additive and multiplicative functions on random permutations. Lith Math J 36, 400–408 (1996). https://doi.org/10.1007/BF02986863

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  • DOI: https://doi.org/10.1007/BF02986863

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