Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the rational approximations to the real numbers corresponding to the
  differences of the Fibonacci sequence   Based on the structure of Fibonacci sequence, we give a new proof for the
irrationality exponents of the Fibonacci real numbers. Moreover, we obtain all
the irrationality exponents of the real numbers corresponding to the
differences of Fibonacci sequence.

5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat