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

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

2004-07-22

arxiv.org/abs/math/0407378v1

Mathematics

Number Theory

Scientific paper

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.

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