Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing Rational Generating Function of a Solution to the Initial
  Value Problem of Two-dimensional Difference Equation with Constant
  Coefficients   Algorithms for computing rational generating functions of solutions of
one-dimensional difference equations are well-known and easy to implement. We
propose an algorithm for computing rational generating functions of solutions
of two-dimensional difference equations in terms of initial data of the
corresponding initial value problems. The crucial part of the algorithm is the
reconstruction of infinite one-dimensional initial data on the basis of finite
input data. The proposed technique can be used for the development of similar
algorithms in higher dimensions. We furnish examples of the implementation of
the proposed algorithm.

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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: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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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: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin