Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The distribution of r-free numbers in arithmetic progressions   A positive integer n is called r-free if n is not divisible by the r-th power
of a prime. Generalizing earlier work of Orr, we provide an upper bound of
Bombieri-Vinogradov type for the r-free numbers in arithmetic progressions.

30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th