Geodesic
Uniform approximation of the remainder term in the Dirichlet divisor problem
Izvestiya. Mathematics , Tome 6 (1972) no. 3, pp. 467-475

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In this paper we study the average value of the function $\tau_k(n)$, the number of representations of $n$ as a product of $k$ natural factors, $n\leqslant x$, with a remainder term which is uniform in $x$ and $k$. 
@article{IM2_1972_6_3_a0,
     author = {A. A. Karatsuba},
     title = {Uniform approximation of the remainder term in the {Dirichlet} divisor problem},
     journal = {Izvestiya. Mathematics },
     pages = {467--475},
     publisher = {mathdoc},
     volume = {6},
     number = {3},
     year = {1972},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1972_6_3_a0/}
}
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A. A. Karatsuba. Uniform approximation of the remainder term in the Dirichlet divisor problem. Izvestiya. Mathematics , Tome 6 (1972) no. 3, pp. 467-475. http://geodesic.mathdoc.fr/item/IM2_1972_6_3_a0/