Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Additive bases and Niven numbers   Let $g \geq 2$ be an integer. A natural number is said to be a base-$g$ Niven
number if it is divisible by the sum of its base-$g$ digits. Assuming Hooley's
Riemann Hypothesis, we prove that the set of base-$g$ Niven numbers is an
additive basis, that is, there exists a positive integer $C_g$ such that every
natural number is the sum of at most $C_g$ base-$g$ Niven numbers.

9
The categories of this paper are: nlin
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph