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- W4288345549 abstract "Let $(f_n)_{n=1}^{infty}$ be a sequence of polynomials and $alpha>1$. In this paper we study the distribution of the sequence $(f_n(alpha))_{n=1}^{infty}$ modulo one. We give sufficient conditions for a sequence $(f_n)_{n=1}^{infty}$ to ensure that for Lebesgue almost every $alpha>1$ the sequence $(f_n(alpha))_{n=1}^{infty}$ has Poissonian pair correlations. In particular, this result implies that for Lebesgue almost every $alpha>1$, for any $kgeq 2$ the sequence $(alpha^{n^k})_{n=1}^{infty}$ has Poissonian pair correlations." @default.
- W4288345549 created "2022-07-29" @default.
- W4288345549 creator A5061943510 @default.
- W4288345549 date "2019-05-31" @default.
- W4288345549 modified "2023-09-26" @default.
- W4288345549 title "Equidistribution results for sequences of polynomials" @default.
- W4288345549 doi "https://doi.org/10.48550/arxiv.1905.13644" @default.
- W4288345549 hasPublicationYear "2019" @default.
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