Abstract
In this section we will present the construction of “sign-normalized” rank one Drinfeld modules. These play the role of the Carlitz module for general A. This basic construction is due to David Hayes [Ha3] [Ha2]. Thus we will also call them “Hayes-modules.” We will use Hayes-modules to construct a “cyclotomic theory” of function fields. The reader will find much that is familiar in these extensions from classical theory.
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© 1998 Springer-Verlag Berlin Heidelberg
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Goss, D. (1998). Sign Normalized Rank 1 Drinfeld Modules. 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_7
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DOI: https://doi.org/10.1007/978-3-642-61480-4_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-63541-3
Online ISBN: 978-3-642-61480-4
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