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- W4308242208 abstract "The purpose of this paper is to study subsequences of synchronizing $k$-automatic sequences $a(n)$ along Piatetski-Shapiro sequences $lfloor n^c rfloor$ with non-integer $c>1$. In particular, we show that $a(lfloor n^c rfloor)$ satisfies a prime number theorem of the form $sum_{nle x} Lambda(n)a(lfloor n^c rfloor) sim C, x$, and, furthermore, that it is deterministic for $c in mathbb Rsetminus mathbb Z$. As an interesting additional result, we show that the sequence $lfloor n^crfloor bmod m$ has polynomial subword complexity." @default.
- W4308242208 created "2022-11-09" @default.
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- W4308242208 date "2022-11-02" @default.
- W4308242208 modified "2023-09-27" @default.
- W4308242208 title "Synchronizing automatic sequences along Piatetski-Shapiro sequences" @default.
- W4308242208 doi "https://doi.org/10.48550/arxiv.2211.01422" @default.
- W4308242208 hasPublicationYear "2022" @default.
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