Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lower bounds for sumsets of multisets in Z_p^2   The classical Cauchy-Davenport theorem implies the lower bound n+1 for the
number of distinct subsums that can be formed from a sequence of n elements of
the cyclic group Z_p (when p is prime and n<p). We generalize this theorem to a
conjecture for the minimum number of distinct subsums that can be formed from
elements of a multiset in (Z_p)^m; the conjecture is expected to be valid for
multisets that are not "wasteful" by having too many elements in nontrivial
subgroups. We prove this conjecture in (Z_p)^2 for multisets of size p+k, when
k is not too large in terms of p.

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The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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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: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: cond-mat