Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A polynomial parametrization of torus knots   For every odd integer $N$ we give an explicit construction of a polynomial
curve $\cC(t) = (x(t), y (t))$, where $\deg x = 3$, $\deg y = N + 1 + 2\pent
N4$ that has exactly $N$ crossing points $\cC(t_i)= \cC(s_i)$ whose parameters
satisfy $s_1 < ... < s_{N} < t_1 < ... < t_{N}$. Our proof makes use of the
theory of Stieltjes series and Pad\'e approximants. This allows us an explicit
polynomial parametrization of the torus knot $K_{2,N}$.

5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga