Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lehmer's conjecture for matrices over the ring of integers of some
  imaginary quadratic fields   Let $R=\mathcal{O}_{\Q(\sqrt{d})}$ for $d<0$, squarefree, $d\neq -1,-3$. We
prove Lehmer's conjecture for associated reciprocal polynomials of
$R$-matrices; that is, any noncyclotomic $R$-matrix has Mahler measure at least
$\lambda_0=1.176...$.

26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph