Literature cited
P. Erdös and A. Wintner, “Additive arithmetical functions and statistical independence,” Am. J. Math.,61, 713–721 (1939).
I. Katai, “On distribution of arithmetical functions on set of prime plus one,” Compositio Math.,19, 278–289 (1968).
I. Katai, “Research problems in number theory,” Publ. Math.,24, Nos. 3–4, 263–276 (1977).
P. D. T. A. Elliott, Probabilistic Number Theory, Vol. II, Grundlehren der Math. Wissenschaften,240 (1980).
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).
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).
B. V. Levin and N. M. Timofeev, “Integral limit theorems,” Litov. Mat. Sb.,16, No. 4, 133–147 (1979).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 33, No. 6, pp. 933–942, June, 1983.
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01157472