Small value estimates for the additive group
Number Theory
2013-01-07 v1
Abstract
We generalize Gel'fond's criterion of algebraic independence to the context of a sequence of polynomials whose first derivatives take small values on large subsets of a fixed subgroup of the additive group of complex numbers, instead of just one point. We also provide one extension dealing with a subgroup of the multiplicative group of non-zero complex numbers.
Cite
@article{arxiv.0708.2307,
title = {Small value estimates for the additive group},
author = {Damien Roy},
journal= {arXiv preprint arXiv:0708.2307},
year = {2013}
}
Comments
35 pages