References
P. Billingsley, Convergence of Probability Measures, Wiley & Sons (New York, 1968).
J. M. Deshouillers, F. Dress and G. Tenenbaum, Lois de répartition des diviseurs, 1, Acta Arithm., 34 (1979), 7-19.
H. Halberstam and H.-E. Richert, On a result of R. R. Hall, J. Number Theory, 11 (1979), 76-89.
E. Manstavičius, An invariance principle for additive arithmetic functions, Soviet Math. Dokl., 37 (1988), 259-263.
E. Manstavičius, Natural divisors from the probabilistic point of view. The 35th Conference of Lithuanian Math. Society, Kaunas, June 16–17, 1994, Abstracts of Communications, pp. 14-15.
E. Manstavičius, Functional approach in the divisor distribution problems, Acta Math. Hungar., 67 (1995), 1-17.
E. Manstavičius, Natural divisors and the Brownian motion, Journal de Théorie des Nombres de Bordeaux, 8 (1996), 159-171.
G. Tenenbaum, Lois de répartition des diviseurs, 2, Acta Arithm., 38 (1980), 1-36.
G. Tenenbaum, Lois de répartition des diviseurs, 4, Ann. Inst. Fourier, 29 (1979), 1-15.
G. Tenenbaum, Lois de répartition des diviseurs, 5, J. London Math. Soc., 20 (1979), 165-176.
N. M. Timofeev and H. H. Usmanov, On the arithmetical simulating of the processes with independent increments, Dokl. Acad. Sc. TadzSSR, 27 (1984), 556-559 (in Russian).
N. M. Timofeev and H. H. Usmanov, On some arithmetic models of random processes, Dokl. Acad. Sc. TadzSSR, 24 (1981), 284-287 (in Russian).
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Manstavičius, E., Timofeev, N.M. A Functional Limit Theorem Related to Natural Divisors. Acta Mathematica Hungarica 75, 1–13 (1997). https://doi.org/10.1023/A:1006501331306
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DOI: https://doi.org/10.1023/A:1006501331306