2 papers
math.NT2018
A Khintchine-type theorem and solutions to linear equations in Piatetski-Shapiro sequences
Daniel Glasscock
Our main result concerns a perturbation of a classic theorem of Khintchine in Diophantine approximation. We give sufficient conditions on a sequence of positive real numbers $(ψ_n)…
math.DS2018
Multiplicative combinatorial properties of return time sets in minimal dynamical systems
Daniel Glasscock, Andreas Koutsogiannis, Florian K. Richter
We investigate the relationship between the dynamical properties of minimal topological dynamical systems and the multiplicative combinatorial properties of return time sets arisin…