Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of a sinusoidal infinite series from Borwein, Bailey, and
  Girgensohn   Borwein, Bailey, and Girgensohn (2004) asked whether the following infinite
series converges: the sum of $(\frac{2}{3} + \frac{1}{3} \sin n)^n / n$ over
all positive integers $n$. We prove that their series converges. The proof uses
the irrationality measure of $\pi$.

24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics