Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the existence of special elements in odd $K$-theory groups   Let $k$ be an imaginary quadratic number field, and $F/k$ a finite abelian
extension of Galois group $G$. We investigate the relationship between the
conjectural special elements introduced in \cite{Burns-DeJeu-Gangl} and ETNC in
the semi-simple case. This provides a partial proof of the conjecture for $F/k$
under certain conditions.

25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc