Small value estimates for the multiplicative group
Number Theory
2015-06-12 v1
Abstract
We generalize Gel'fond's transcendence criterion to the context of a sequence of polynomials whose first derivatives take small values on large subsets of a fixed subgroup of the multiplicative group C* of the field of complex numbers.
Keywords
Cite
@article{arxiv.1301.0668,
title = {Small value estimates for the multiplicative group},
author = {Damien Roy},
journal= {arXiv preprint arXiv:1301.0668},
year = {2015}
}
Comments
author's version; 35 pages