Geodesic
On the Quantity of Numbers of Special Form Depending on the Parity of the Number of Their Different Prime Divisors
Matematičeskie zametki, Tome 97 (2015) no. 6, pp. 930-935

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Natural numbers all of whose prime divisors (even or odd in number) belong to special sets are considered. It is proved that numbers with an odd number of different prime divisors predominate; more precisely, the difference between these numbers not exceeding a given $x$ tends to infinity with increasing $x$.
Keywords: natural number, prime divisor, Euler's identity, Dirichlet generating series, Cauchy's integral theorem.
Mots-clés : Perron's formula 
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     author = {M. E. Changa},
     title = {On the {Quantity} of {Numbers} of {Special} {Form} {Depending} on the {Parity} of the {Number} of {Their} {Different} {Prime} {Divisors}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {930--935},
     publisher = {mathdoc},
     volume = {97},
     number = {6},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2015_97_6_a10/}
}
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M. E. Changa. On the Quantity of Numbers of Special Form Depending on the Parity of the Number of Their Different Prime Divisors. Matematičeskie zametki, Tome 97 (2015) no. 6, pp. 930-935. http://geodesic.mathdoc.fr/item/MZM_2015_97_6_a10/