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- W2950470325 abstract "Let $n$ and $k$ be integers. A set $Asubsetmathbb{Z}/nmathbb{Z}$ is $k$-free if for all $x$ in $A$, $kxnotin A$. We determine the maximal cardinality of such a set when $k$ and $n$ are coprime. We also study several particular cases and we propose an efficient algorithm for solving the general case. We finally give the asymptotic behaviour of the minimal size of a $k$-free set in $left[ 1,nright]$ which is maximal for inclusion." @default.
- W2950470325 created "2019-06-27" @default.
- W2950470325 creator A5055858982 @default.
- W2950470325 date "2014-09-25" @default.
- W2950470325 modified "2023-09-27" @default.
- W2950470325 title "On modular k-free sets" @default.
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- W2950470325 hasPublicationYear "2014" @default.
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