Andrei Shubin

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

Möbius orthogonality of Thue-Morse sequence along Piatetski-Shapiro numbers

Andrei Shubin

We show that the Möbius function is orthogonal to the Thue-Morse sequence $t (n)$ taken along the Piatetski-Shapiro numbers $⌊ n^{c} ⌋$ for any $1 < c < 2$ . Previously thi…

Poissonian pair correlation for αnθ

Möbius orthogonality of Thue-Morse sequence along Piatetski-Shapiro numbers

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