Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shift-plethysm, Hydra continued fractions, and m-distinct partitions   We introduce the hydra continued fractions, as a generalization of the
Rogers-Ramanujan continued fractions, and give a combinatorial interpretation
in terms of shift-plethystic trees. We then show it is possible to express them
as a quotient of m-distinct partition generating functions, and in its dual
form as a quotient of the generating functions of compositions with contiguous
rises upper bounded by m-1. We obtain new generating functions for compositions
according to their local minima, for partitions with a prescribed set of rises,
and for compositions with prescribed sets of contiguous differences.

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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: stat
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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: quant-ph