On the Mean Values of the Function $τ_k(n)$ in Sequences of Natural Numbers

Details On the Mean Values of the Function $τ_k(n)$ in Sequences of Natural Numbers On the Mean Values of the Function $τ_k(n)$ in Sequences of Natural Numbers

2012-04-24

arxiv.org/abs/1204.5452v1

Mathematics

Number Theory

9 pages

Scientific paper

We obtain an asymptotic formula for the mean value of the function
$\tau_k(n)$, which is the number of solutions of the equation $x_1...\, x_k=n$
in natural numbers $x_1,..., x_k$ in some special sequences of natural numbers.

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