Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal elliptic functions   For the elliptic curve defined by the most general form $y^2 + (\mu_1 x +
\mu_3) y = x^3 + \mu_2 x^2 + \mu_4 x + \mu_6$, we show the power series
expansion of Weierstsass sigma function $\sigma(u)$ at the origin is of Hurwitz
integral over $\mathbb{Z}[\mu_1/2, \mu_2, \mu_3, \mu_4, \mu_6]$. Namely, the
coefficient $c_n$ of any term $c_n u^n/n!$ of the expansion belongs to
$\mathbb{Z}[\mu_1/2, \mu_2, \mu_3, \mu_4, \mu_6]$. The last section contains
several first terms of $n$-plication equation of the curve.

14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics