Abstract
We present here the details of the Carlitz module. This is the simplest of all Drinfeld modules and may be given in a concrete, elementary fashion. At the same time, most essential ideas about Drinfeld modules appear in the theory of the Carlitz module. Thus it is an excellent example for the reader to master and keep in mind when reading the more abstract general theory. Our basic reference is [C1], but see also [Go2].
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© 1998 Springer-Verlag Berlin Heidelberg
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Goss, D. (1998). The Carlitz Module. In: Basic Structures of Function Field Arithmetic. Ergebnisse der Mathematik und ihrer Grenzgebeite. 3. Folge, vol 35. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61480-4_3
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DOI: https://doi.org/10.1007/978-3-642-61480-4_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-63541-3
Online ISBN: 978-3-642-61480-4
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