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- W2806393619 abstract "Let $G$ be a compact abelian group and $Gamma$ be its discrete dual group. For $N in mathbb{N}$, we define a class of independent-like sets, $N$-PR sets, as a set in $Gamma$ such that every $mathbb{Z}_N$-valued function defined on the set can be interpolated by a character in $G$. These sets are examples of $varepsilon$-Kronecker sets and Sidon sets. In this paper we study various properties of $N$-PR sets. We give a characterization of $N$-PR sets, describe their structures and prove the existence of large $N$-PR sets." @default.
- W2806393619 created "2018-06-13" @default.
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- W2806393619 date "2018-06-08" @default.
- W2806393619 modified "2023-10-17" @default.
- W2806393619 title "Existence of Large Independent-Like Sets" @default.
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- W2806393619 doi "https://doi.org/10.48550/arxiv.1806.02994" @default.
- W2806393619 hasPublicationYear "2018" @default.
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