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Distribution of values of additive functions on the sequence {p+1}

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Literature cited

  1. P. Erdös and A. Wintner, “Additive arithmetical functions and statistical independence,” Am. J. Math.,61, 713–721 (1939).

    Google Scholar 

  2. I. Katai, “On distribution of arithmetical functions on set of prime plus one,” Compositio Math.,19, 278–289 (1968).

    Google Scholar 

  3. I. Katai, “Research problems in number theory,” Publ. Math.,24, Nos. 3–4, 263–276 (1977).

    Google Scholar 

  4. P. D. T. A. Elliott, Probabilistic Number Theory, Vol. II, Grundlehren der Math. Wissenschaften,240 (1980).

  5. B. V. Levin and N. M. Timofeev, “Analog of the law of large numbers for additive functions on sparse sets,” Mat. Zametki,18, No. 5, 687–698 (1975).

    Google Scholar 

  6. M. B. Barban, A. I. Vinogradova, and B. V. Levin, “Limit laws for the class H of I. P. Kubilyus, defined on a set of shifted primes,” Litov. Mat. Sb.,5, No. 1, 5–7 (1965).

    Google Scholar 

  7. B. V. Levin and N. M. Timofeev, “Integral limit theorems,” Litov. Mat. Sb.,16, No. 4, 133–147 (1979).

    Google Scholar 

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Translated from Matematicheskie Zametki, Vol. 33, No. 6, pp. 933–942, June, 1983.

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Timofeev, N.M. Distribution of values of additive functions on the sequence {p+1}. Mathematical Notes of the Academy of Sciences of the USSR 33, 478–483 (1983). https://doi.org/10.1007/BF01157472

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