A. Shubin

most citedSynchronizing automatic sequences along Piatetski-Shapiro sequences

2 citations · 2 across the 2 of their papers we have counts for

collaborators

2 papers

math.NT2023

Poissonian pair correlation for $α n^{θ}$

Maksym Radziwiłł, Andrei Shubin

We show that sequences of the form $α n^{θ} (mod 1)$ with $α > 0$ and $0 < θ < \frac{43}{117} = \frac{1}{3} + 0.0341 \dots$ have Poissonian pair correlation. This improves upon the…

math.NT2022★ 2 cited

Synchronizing automatic sequences along Piatetski-Shapiro sequences

Jean-Marc Deshouillers, Michael Drmota, Clemens Müllner +2

The purpose of this paper is to study subsequences of synchronizing $k$ -automatic sequences $a (n)$ along Piatetski-Shapiro sequences $⌊ n^{c} ⌋$ with non-integer $c > 1$ . I…

Poissonian pair correlation for αnθ

Synchronizing automatic sequences along Piatetski-Shapiro sequences

Poissonian pair correlation for $α n^{θ}$