Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction of class fields over cyclotomic fields   Let $\ell$ and $p$ be odd primes. For a positive integer $\mu$ let $k_\mu$ be
the ray class field of $k=\mathbb{Q}(e^{2\pi i/\ell})$ modulo $2p^\mu$. We
present certain class fields $K_\mu$ of $k$ such that $k_\mu\leq K_\mu\leq
k_{\mu+1}$, and find the degree of $K_\mu/k_\mu$ explicitly. And we also
construct, in the sense of Hilbert, primitive generators of the field $K_\mu$
over $k_\mu$ by using Shimura's reciprocity law and special values of theta
constants.

35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci