Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gapsets and numerical semigroups   For g $\ge$ 0, let n g denote the number of numerical semi-groups of genus g.
A conjecture by Maria Bras-Amor\'os in 2008 states that the inequality n g
$\ge$ n g--1 + n g--2 should hold for all g $\ge$ 2. Here we show that such an
inequality holds for the very large subtree of numerical semigroups satisfying
c $\le$ 3m, where c and m are the conductor and multiplicity, respectively. Our
proof is given in the more flexible setting of gapsets, i.e. complements in N
of numerical semigroups.

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The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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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: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio