Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On an incomplete argument of Erdos on the irrationality of Lambert
  series   We show that the Lambert series $f(x)=\sum d(n) x^n$ is irrational at $x=1/b$
for negative integers $b < -1$ using an elementary proof that finishes an
incomplete proof of Erdos.

35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg