Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Periodicity of complementing multisets   Let $A$ be a finite multiset of integers. If $B$ be a multiset such that $A$
and $B$ are $t$-complementing multisets of integers, then $B$ is periodic. We
obtain the Biro-type upper bound for the smallest such period of $B$: Let
$\epsilon>0$. We assume that $\textrm{diam}(A)\ge n_0(\epsilon)$ and that
$\sum_{a\in A}w_A(a)\leq (\textrm{diam}(A)+1)^{c}$, where $c$ is any constant
such that $c< 100\log2-2$. Then $B$ is periodic with period \[\log k\leq
(\textrm{diam}(A)+1)^{1/3+\epsilon}. \]

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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
1
The categories of this paper are: cs
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The categories of this paper are: econ
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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: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn