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

Federico Pellarin
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Abstract

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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Federico Pellarin. 2004-07-22. On the arithmetic properties of complex values of Hecke-Mahler series. https://arxiv.org/abs/math/0407378

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