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

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期刊全称Basic Structures of Function Field Arithmetic
影响因子2023David Goss
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发行地址A new and fascinating area of math *.The author is a fundamental contributor to the field *.The first systematic treatment of this subject * Introduces vital areas of current research * Clear expositi
图书封面Titlebook: Basic Structures of Function Field Arithmetic;  David Goss Book 1998 Springer-Verlag Berlin Heidelberg 1998 Dimension.Drinfeld module.Grad.
影响因子From the reviews:"The book...is a thorough and very readable introduction to the arithmetic of function fields of one variable over a finite field, by an author who has made fundamental contributions to the field. It serves as a definitive reference volume, as well as offering graduate students with a solid understanding of algebraic number theory the opportunity to quickly reach the frontiers of knowledge in an important area of mathematics...The arithmetic of function fields is a universe filled with beautiful surprises, in which familiar objects from classical number theory reappear in new guises, and in which entirely new objects play important roles. Goss‘clear exposition and lively style make this book an excellent introduction to this fascinating field." .MR 97i:11062.
Pindex Book 1998
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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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