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On distribution of arithmetical functions on the set prime plus one. (English) Zbl 0167.04301

MSC:
11N60 Distribution functions associated with additive and positive multiplicative functions
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References:
[1] P. Erdös , [1] On the density of some sequences of numbers, III . J. London Math. Soc. 13 (1938), 119-127. · Zbl 0018.29301 · doi:10.1112/jlms/s1-13.2.119
[2] H. Delange , [2] Un theorème sur les fonctions arithmétiques multiplicatives et ses applications , Ann. Sci. Ecole Norm. Sup. 78 (1961), 1-29. · Zbl 0109.03106 · doi:10.24033/asens.1097 · numdam:ASENS_1961_3_78_1_1_0 · eudml:81766
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[9] J.P. Kubilius , [9] Probabilistic methods in number theory , Vilnius, 1962 (in Russian). · Zbl 0127.27402
[10] M.B. Barban , [10] Arithmetical functions on ”thin” sets , Trudi inst. math. im. V. I. Romanovskovo, Teor. ver. i math. stat. vüp 22, Taskent, 1961 (in Russian). · Zbl 0102.03702
[11] M.B. Barban , A.I. Vinogradov , and B.V. Levin , [11] Limit laws for arithmetic functions of J. P. Kubilius class H, defined on the set of ”shiffed” primes , Litovsky Math. Sb. 5 (1965), 1-8 (in Russian). · Zbl 0146.05204
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