Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the range of $\sum_{n=1}^\infty\pm c_n$   Let $\{c_n\}_{n=1}^\infty$ be a sequence of complex numbers. In this paper we
answer when the range of $\sum_{n=1}^\infty\pm c_n$ is dense or equal to the
complex plane. Some examples are given to explain our results. As its
application, we calculate the Hausdorff dimension of the level sets of a
Rademacher series with complex coefficients.

6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio