Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Expansions in multiple bases   Expansion of real numbers is a basic research topic in number theory. Usually
we expand real numbers in one given base. In this paper, we begin to
systematically study expansions in multiple given bases in a reasonable way,
which is a generalization in the sense that if all the bases are taken to be
the same, we return to the classical expansions in one base. In particular, we
focus on greedy, quasi-greedy, lazy, quasi-lazy and unique expansions in
multiple bases.

23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
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
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol