@article{bae149cb599d4404ae60231d8f66c895,
title = "On a variant of Pillai's problem with transcendental numbers",
abstract = "We study the asymptotic behaviour of the number of solutions (m, n) ∈ N2, to the inequality | αn- βm| ≤ x when x tends to infinity. Here α, β are given multiplicatively independent complex numbers with| α| > 1 and | β| > 1.",
keywords = "Diophantine inequality, Pillai{\textquoteright}s problem",
author = "R. Tichy and I. Vukusic and D. Yang and V. Zeigler",
note = "Funding Information: The third author was also supported by the Austrian Science Fund (FWF) under the project W1230. Funding Information: The first author was supported by the Austrian Science Fund (FWF) under the project I4406 and the project (SFB) F5510. Publisher Copyright: {\textcopyright} 2022, Akad{\'e}miai Kiad{\'o}, Budapest, Hungary.",
year = "2022",
month = apr,
doi = "10.1007/s10474-022-01233-2",
language = "English",
volume = "166",
pages = "650--666",
journal = "Acta Mathematica Hungarica",
issn = "0236-5294",
publisher = "Springer Netherlands",
number = "2",
}