On the arithmetic properties of complex values of Hecke-Mahler series
Number Theory
2007-05-23 v1
Abstract
Here we characterise in a complete and explicit way the relations of algebraic dependence over of complex values of Hecke-Mahler series taken at algebraic points of the multiplicative group . Our result contains previous theorems by Loxton and van der Poorten, Mahler, and Masser.
Keywords
Cite
@article{arxiv.math/0407378,
title = {On the arithmetic properties of complex values of Hecke-Mahler series},
author = {Federico Pellarin},
journal= {arXiv preprint arXiv:math/0407378},
year = {2007}
}