## 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 [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 [3] A. Rényi , [3] On the distribution of values of additive number-theoretical functions , Publ. Math. Debrecen 10 (1963), 264-273. · Zbl 0132.28504 [4] H. Delange , [4] Sur les fonctions arithmétiques multiplicatives , Ann. Sci. Ecole Norm. Sup. 78 (1961), 273-304. · Zbl 0234.10043 [5] A. Rényi , [5] A new proof of a theorem of Delange , Publ. Math. Debrecen, 12 (1965), 323-329. · Zbl 0139.27003 [6] K. Prachar , [6] Primzahlverteilung , Springer Verlag 1957. · Zbl 0080.25901 [7] E. Bombieri , [7] On the large sieve , Mathematika, 12 (1965), 201-225. · Zbl 0136.33004 [8] P. Levy , [8] Studia Mathematica, 3 6 (1931), p. 150. [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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