S. Baker

activity

20122023

most citedUnique expansions and intersections of Cantor sets

10 citations · 77 across the 32 of their papers we have counts for

collaborators

Showing 2019 · math.NTShow all

2 papers · 2 filters

math.NT2019

On the pair correlations of powers of real numbers

Christoph Aistleitner, Simon Baker

A classical theorem of Koksma states that for Lebesgue almost every $x > 1$ the sequence $(x^{n})_{n = 1}^{\infty}$ is uniformly distributed modulo one. In the present paper we extend Ko…

math.NT2019

Equidistribution results for sequences of polynomials

Simon Baker

Let $(f_{n})_{n = 1}^{\infty}$ be a sequence of polynomials and $α > 1$ . In this paper we study the distribution of the sequence $(f_{n} (α))_{n = 1}^{\infty}$ modulo one. We give sufficient…