Explicit Salem sets and applications to metrical Diophantine approximation

Kyle Hambrook

Let $Q$ be an infinite subset of $\mathbb{Z}$, let $\Psi :\mathbb{Z}\to [0,\infty )$ be positive on $Q$, and let $\theta \in \mathbb{R}$. Define $$ E(Q,Ψ,θ) = \{ x \in \mathbb{R} :…