Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ap\'ery sets of shifted numerical monoids   A numerical monoid is an additive submonoid of the non-negative integers.
Given a numerical monoid $S$, consider the family of "shifted" monoids $M_n$
obtained by adding $n$ to each generator of $S$. In this paper, we characterize
the Ap\'ery set of $M_n$ in terms of the Ap\'ery set of the base monoid $S$
when $n$ is sufficiently large. We give a highly efficient algorithm for
computing the Ap\'ery set of $M_n$ in this case, and prove that several
numerical monoid invariants, such as the genus and Frobenius number, are
eventually quasipolynomial as a function of $n$.

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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
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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: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: physics
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The categories of this paper are: eess