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Distribution of additive arithmetic functions (mod 1)

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Literature cited

  1. P. Erdös, “On the distribution of additive functions,” Ann. of Math.,47, 1–20 (1946).

    Google Scholar 

  2. I. P. Kubilyus, Probabilistic Methods in Number Theory [in Russian], Vilnius (1962).

  3. H. Delange, “Distribution des valeurs de certainés fonctions arithmétiques,” Semin. De lange Pisot (Théorie des nombres) 2e année,2, 1–25 (1960/61).

    Google Scholar 

  4. B. V. Levin and A. S. Feinleib, “Integral limit theorems for certain classes of additive arithmetic functions,” Trudy Moskovsk. Matem. Ob-va,18, 19–54 (1968).

    Google Scholar 

  5. B. V. Levin and A. S. Feinleib, “Multiplicative functions and probabilistic number theory,” Izv. Akad. Nauk SSSR, Ser. Matem.,34, No. 5, 1064–1109 (1970).

    Google Scholar 

  6. P. D. T. A. Elliot, “On the limiting distribution of additive functions (mod 1),” Pacific J. Math.,38, No. 1, 49–59 (1971).

    Google Scholar 

  7. J. W. S. Cassels, An Introduction to Diophantine Approximation, Cambridge University Press (1957).

  8. G. Halász, “Über die Mittelwerte multiplikativer zahlentheoretischer Funktionen,” Acta Math. Acad. Sci. Hung.,19, 365–403 (1968).

    Google Scholar 

  9. B. V. Levin and N. M. Timofeev, “Analytic method in probabilistic number theory,” Uchenye Zapiski, Vladimirskii Gos Pedinstitut, Ser. Matem., No. 2, 57–150 (1971).

    Google Scholar 

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Authors and Affiliations

  1. V. Kapsukas Vilnius State University, USSR

    É. Manstavichyus

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  1. É. Manstavichyus
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Translated from Litovskii Matematicheskii Sbornik, Vol. 13, No. 1, pp. 101–108, January–March, 1973.

The author thanks Prof. I. Kubilyus for his exhaustive and constant help in completing this paper.

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Manstavichyus, É. Distribution of additive arithmetic functions (mod 1). Lith Math J 13, 70–75 (1973). https://doi.org/10.1007/BF01540076

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  • DOI: https://doi.org/10.1007/BF01540076

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