On the Dirichlet divisor problem in some sequences of natural numbers
Izvestiya. Mathematics , Tome 38 (1992) no. 3, pp. 669-675.

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This paper is concerned with the question of the average value of the function $\tau(n)$, the number of divisors of $n$, for some special sequences of natural numbers.
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K. M. Eminyan. On the Dirichlet divisor problem in some sequences of natural numbers. Izvestiya. Mathematics , Tome 38 (1992) no. 3, pp. 669-675. http://geodesic.mathdoc.fr/item/IM2_1992_38_3_a12/

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[3] Vinogradov I. M., Osnovy teorii chisel, Nauka, M., 1981 | MR

[4] Karatsuba A. A., Osnovy analiticheskoi teorii chisel, Nauka, M., 1983 | MR