On the arithmetic properties of complex values of Hecke-Mahler series

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Here we characterise in a complete and explicit way the relations of algebraic dependence over $\QQ$ of complex values of Hecke-Mahler series taken at algebraic points of the multiplicative group $\GG_m^2(\CC)$. Our result contains previous theorems by Loxton and van der Poorten, Mahler, and Masser.

Keywords

Number Theory, 11J85

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/71968

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0407378
 http://arxiv.org/abs/math/0407378

Collections

arXiv