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
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

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