Sets generated by finite sets of algebraic numbers
Volume 184 / 2018
Acta Arithmetica 184 (2018), 193-200
MSC: Primary 11N80; Secondary 11J86.
DOI: 10.4064/aa171204-9-4
Published online: 20 July 2018
Abstract
We study the distribution of the numbers generated by a finite set of multiplicatively independent algebraic numbers of absolute value larger than $1$. This generalizes work of Tijdeman on the distribution of integers which are formed from a finite set of primes.