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

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dc.creatorPellarin, Federico
dc.date2004-07-22
dc.date.accessioned2026-07-07T05:10:34Z
dc.date.available2026-07-07T05:10:34Z
dc.descriptionHere 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.
dc.identifierhttps://arxiv.org/abs/math/0407378
dc.identifierhttp://arxiv.org/abs/math/0407378
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71968
dc.subjectNumber Theory
dc.subject11J85
dc.titleOn the arithmetic properties of complex values of Hecke-Mahler series
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