Geodesic
On integers whose number of prime divisors belongs to a~given residue class
Izvestiya. Mathematics , Tome 83 (2019) no. 1, pp. 173-183

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We consider positive integers whose number of prime divisors is congruent to $l$ modulo $k$. In this case, the calculation of prime divisors can be made either with or without taking into account the multiplicity, and the divisors themselves can be subjected to the additional requirement of belonging to some special set. We show that for $k\geqslant3$, the distribution pattern of these numbers, in dependence on the value of $l$, differs fundamentally from that in the case $k=2$, which was studied earlier.
Keywords: prime divisors
Mots-clés : Perron's formula. 
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     author = {M. E. Changa},
     title = {On integers whose number of prime divisors belongs to a~given residue class},
     journal = {Izvestiya. Mathematics },
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     number = {1},
     year = {2019},
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     url = {http://geodesic.mathdoc.fr/item/IM2_2019_83_1_a7/}
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M. E. Changa. On integers whose number of prime divisors belongs to a~given residue class. Izvestiya. Mathematics , Tome 83 (2019) no. 1, pp. 173-183. http://geodesic.mathdoc.fr/item/IM2_2019_83_1_a7/