Abstract
We retain the notation of Section 4; thus X is our base curve over F r (r = pm0) with fixed closed point ∞ ∈ X, function field k and where Spec(A) = X−∞. We let C∞ be the completion of an algebraic closure of the completion K of k at ∞. Let \(\bar k \subset {\text{ }}{{\text{C}}_\infty }\) be the algebraic closure and ksep \(\subset \bar k\) the separable closure. Set
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© 1998 Springer-Verlag Berlin Heidelberg
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Goss, D. (1998). L-series. 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_8
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DOI: https://doi.org/10.1007/978-3-642-61480-4_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-63541-3
Online ISBN: 978-3-642-61480-4
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