English

On multiplicatively dependent vectors of algebraic numbers

Number Theory 2016-06-10 v1

Abstract

In this paper, we give several asymptotic formulas for the number of multiplicatively dependent vectors of algebraic numbers of fixed degree, or within a fixed number field, and bounded height.

Keywords

Cite

@article{arxiv.1606.02874,
  title  = {On multiplicatively dependent vectors of algebraic numbers},
  author = {Francesco Pappalardi and Min Sha and Igor E. Shparlinski and Cameron L. Stewart},
  journal= {arXiv preprint arXiv:1606.02874},
  year   = {2016}
}