Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Applicability of the $q$-Analogue of Zeilberger's Algorithm   The applicability or terminating condition for the ordinary case of
Zeilberger's algorithm was recently obtained by Abramov. For the $q$-analogue,
the question of whether a bivariate $q$-hypergeometric term has a $qZ$-pair
remains open. Le has found a solution to this problem when the given bivariate
$q$-hypergeometric term is a rational function in certain powers of $q$. We
solve the problem for the general case by giving a characterization of
bivariate $q$-hypergeometric terms for which the $q$-analogue of Zeilberger's
algorithm terminates. Moreover, we give an algorithm to determine whether a
bivariate $q$-hypergeometric term has a $qZ$-pair.

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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph