Please use this identifier to cite or link to this item:
doi:10.22028/D291-26193 | Title: | Constructing function fields with many rational places via the Carlitz module |
| Author(s): | Gebhardt, Max |
| Language: | English |
| Year of Publication: | 2001 |
| Free key words: | cyclotomic extensions |
| DDC notations: | 510 Mathematics |
| Publikation type: | Other |
| Abstract: | We consider certain decomposition fields in extensions of \mathbb{F}_{q}(Z) by the Carlitz module and give formulas for their genera and numbers of rational places, suitable for automatic computations. By extensive calculations we found some function fields which have more rational places than the known examples of the respective genus. |
| Link to this record: | urn:nbn:de:bsz:291-scidok-43568 hdl:20.500.11880/26249 http://dx.doi.org/10.22028/D291-26193 |
| Series name: | Preprint / Fachrichtung Mathematik, Universität des Saarlandes |
| Series volume: | 37 |
| Date of registration: | 25-Nov-2011 |
| Faculty: | MI - Fakultät für Mathematik und Informatik |
| Department: | MI - Mathematik |
| Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
Files for this record:
| File | Description | Size | Format | |
|---|---|---|---|---|
| preprint_37_01.pdf | 216,21 kB | Adobe PDF | View/Open |
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