On a variant of Pillai's problem with transcendental numbers

Robert Tichy, Ingrid Vukusic, Daodao Yang +1

In this paper, we study the asymptotic behaviour of the number of solutions $(m,n)\in {\mathbb{N}}^2$ to the inequality $|{\alpha }^n-{\beta }^m|\le x$ when $x$ tends to infinity. Here $α,…