Titlebook: Basic Structures of Function Field Arithmetic; David Goss Book 1998 Springer-Verlag Berlin Heidelberg 1998 Dimension.Drinfeld module.Grad.

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CPU Architecture Modelling and Co-designWe retain the notation of Section 4; thus . is our base curve over . (. = .) with fixed closed point ∞ ∈ ., function field . and where Spec(.) = .?∞. We let . be the completion of an algebraic closure of the completion . of . at ∞. Let . be the algebraic closure and . . the separable closure. Set

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Lecture Notes in Computer ScienceIn this section we will introduce .-functions into the arithmetic of function fields. We do this by building on a basic, and still quite mysterious, construction of L. Carlitz in the . = .[.]-case. Recall that in Section 3.3 we introduced the Carlitz exponential .where . for . > 1, and .. In Proposition 3.1.6 we showed that

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