Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A superadditivity and submultiplicativity property for cardinalities of
  sumsets   For finite sets of integers $A_1, A_2 ... A_n$ we study the cardinality of
the $n$-fold sumset $A_1+...
  +A_n$ compared to those of $n-1$-fold sumsets $A_1+...
  +A_{i-1}+A_{i+1}+... A_n$. We prove a superadditivity and a
submultiplicativity property for these quantities. We also examine the case
when the addition of elements is restricted to an addition graph between the
sets.

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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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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: nlin
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The categories of this paper are: physics
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The categories of this paper are: hep-ex