Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Partitions into Piatetski-Shapiro sequences   Let $\kappa$ be a positive real number and $m\in\mathbb{N}\cup\{\infty\}$ be
given. Let $p_{\kappa, m}(n)$ denote the number of partitions of $n$ into the
parts from the Piatestki-Shapiro sequence $(\lfloor
\ell^{\kappa}\rfloor)_{\ell\in \mathbb{N}}$ with at most $m$ times (repetition
allowed). In this paper we establish asymptotic formulas of Hardy-Ramanujan
type for $p_{\kappa, m}(n)$, by employing a framework of asymptotics of
partitions established by Roth-Szekeres in 1953, as well as some results on
equidistribution.

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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th