Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mean square of the error term in the asymmetric many dimensional divisor
  problem   Let $\ba=(a_1,a_2,\ldots,a_k)$, where $a_j \ (j=1,\ldots,k)$ are positive
integers such that $a_1 \leq a_2 \leq \cdots \leq a_k$. Let
$d(\ba;n)=\sum_{n_1^{a_1}\cdots n_k^{a_k}=n}1$ and $\Delta(\ba;x)$ be the error
term of the summatory function of $d(\ba;n)$. In this paper we show an
asymptotic formula of the mean square of $\Delta(\ba;x)$ under a certain
condition. Furthermore, in the cases $k=2$ and 3, we give unconditional
asymptotic formulas for these mean squares.

1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph