Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complexity of Creative Telescoping for Bivariate Rational Functions   The long-term goal initiated in this work is to obtain fast algorithms and
implementations for definite integration in Almkvist and Zeilberger's framework
of (differential) creative telescoping. Our complexity-driven approach is to
obtain tight degree bounds on the various expressions involved in the method.
To make the problem more tractable, we restrict to bivariate rational
functions. By considering this constrained class of inputs, we are able to
blend the general method of creative telescoping with the well-known Hermite
reduction. We then use our new method to compute diagonals of rational power
series arising from combinatorics.

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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: math
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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga