On the arithmetic properties of complex values of Hecke-Mahler series.
Overview & Synopsis
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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Document Information
| Document Title | On the arithmetic properties of complex values of Hecke-Mahler series. |
|---|---|
| Author / Organization | Federico Pellarin |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2006 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-165764 |
| Original Source Link | Visit Source Page on hal.science » |