Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Generalization of the Schur-Siegel-Smyth Trace Problem   Let $\alpha$ be a totally positive algebraic integer, and define its absolute
trace to be $\frac{Tr(\alpha)}{\text{deg}(\alpha)}$, the trace of $\alpha$
divided by the degree of $\alpha$. Elementary considerations show that the
absolute trace is always at least one, while it is plausible that for any
$\epsilon >0$, the absolute trace is at least $2-\epsilon$ with only finitely
many exceptions. This is known as the Schur-Siegel-Smyth trace problem. Our aim
in this paper is to show that the Schur-Siegel-Smyth trace problem can be
considered as a special case of a more general problem.

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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
3
The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: eess