Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher Mahler measure for cyclotomic polynomials and Lehmer's question   The $k$-higher Mahler measure of a nonzero polynomial $P$ is the integral of
$\log^k|P|$ on the unit circle. In this note, we consider Lehmer's question
(which is a long-standing open problem for $k=1$) for $k>1$ and find some
interesting formulae for 2- and 3-higher Mahler measure of cyclotomic
polynomials.

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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int