On a~number of prime divisors of an integer with bounded multipleness
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 4, pp. 129-133.

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In this article generalisations of numeric functions related to a number of prime divisors of a given number are investigated. Upper and lower limit values of a number of prime divisors of a bounded power of integer are obtained.
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G. V. Fjodorov. On a~number of prime divisors of an integer with bounded multipleness. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 4, pp. 129-133. http://geodesic.mathdoc.fr/item/ISU_2013_13_4_a22/

[1] Hardy G. H., Ramanujan S., “The normal number of prime factors of a number $n$”, Quart. J. Math., 48 (1917), 76–92 | Zbl

[2] Tanenbaum G., Mendes France M., The prime numbers and their distribution, Amer. Math. Soc., Providence, RI, 2000, 115 pp. | MR

[3] Fröberg C.-E., “On the prime zeta function”, BIT, 8 (1968), 187–202 | DOI | MR | Zbl

[4] Fedorov G. V., “The upper limit value of the divisor function with growing dimension”, Doklady Math., 88:2 (2013), 529–531 | DOI | DOI | Zbl