Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: k-Run Overpartitions and Mock Theta Functions   In this paper we introduce k-run overpartitions as natural analogs to
partitions without k-sequences, which were first defined and studied by
Holroyd, Liggett, and Romik. Following their work as well as that of Andrews,
we prove a number of results for k-run overpartitions, beginning with a double
summation q-hypergeometric series representation for the generating functions.
In the special case of 1-run overpartitions we further relate the generating
function to one of Ramanujan's mock theta functions. Finally, we describe the
relationship between k-run overpartitions and certain sequences of random
events, and use probabilistic estimates in order to determine the asymptotic
growth behavior of the number of k-run overpartitions of size n.

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The categories of this paper are: alg-geom
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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: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: funct-an