Some further results on squarefree arithmetic progressions in infinite words
Résumé
In a recent paper, one of us posed three open problems concerning squarefree arithmetic progressions in infinite words. In this paper we solve these problems and prove some additional results. For instance, among other things, we show that there exists a squarefree word w over a ternary alphabet such that for every p ≥3, the subsequence of w indexed by the multiples of p contains a square.
Domaines
Mathématique discrète [cs.DM]
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