Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Je{\'s}manowicz' conjecture for polynomials   Let $(a,b,c)$ be pairwise relatively prime integers such that $a^2 + b^2 =
c^2$. In 1956, Je{\'s}manowicz conjectured that the only solution of $a^x + b^y
= c^z$ in positive integers is $(x,y,z)=(2,2,2)$. In this note we prove a
polynomial analogue of this conjecture.

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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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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: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th