Geodesic
On the Mean Values of the Function~$\tau_k(n)$ in Sequences of Natural Numbers
Matematičeskie zametki, Tome 90 (2011) no. 3, pp. 454-463.

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We obtain an asymptotic formula for the mean value of the function $\tau_k(n)$, which is the number of solutions of the equation $x_1\dotsb x_k=n$ in natural numbers $x_1,\dots,x_k$, in some special sequences of natural numbers.
Keywords: sequence of natural numbers, trigonometric sum, number system of base $q$, complex-valued function, inequality of the large sieve. 
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K. M. Eminyan. On the Mean Values of the Function~$\tau_k(n)$ in Sequences of Natural Numbers. Matematičeskie zametki, Tome 90 (2011) no. 3, pp. 454-463. http://geodesic.mathdoc.fr/item/MZM_2011_90_3_a10/

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