Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Lehmer's totient problem on Number Fields   Lehmer's totient problem asks if there exists a composite number $d$ such
that its totient divide $d-1$. In this article we generalize the Lehmer's
totient problem in algebraic number fields. We introduce the notion of a Lehmer
number. Lehmer numbers are defined to be the natural numbers which obey the
Lehmer's problem in the ring of algebraic integers of a number field.

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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: cond-mat
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The categories of this paper are: cs
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin