Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounds on Factors in Z[x]   We gather together several bounds on the sizes of coefficients which can
appear in factors of polynomials in Z[x]; we include a new bound which was
latent in a paper by Mignotte, and a few minor improvements to some existing
bounds. We compare these bounds and show that none is universally better than
the others. In the second part of the paper we give several concrete examples
of factorizations where the factors have "unexpectedly" large coefficients.
These examples help us understand why the bounds must be larger than you might
expect, and greatly extend the collection published by Collins.

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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
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The categories of this paper are: q-alg
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The categories of this paper are: physics