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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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https://doi.org/10.1007/978-3-031-32041-5reover, most of the salient features of Drinfeld modules are seen on the Carlitz module. Among these are: 1. The “lattice” .[.].; 2. The exponential of .[.]. (= the Carlitz exponential .(.)); 3. The multiplication law of .(.) (= the Carlitz module .); 4. The algebraicity of . and its reductions to f
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miliar 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:11062.978-3-540-63541-3978-3-642-61480-4
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Introduces vital areas of current research * Clear expositiFrom 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
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https://doi.org/10.1007/978-3-031-32041-5f .[.]. (= the Carlitz exponential .(.)); 3. The multiplication law of .(.) (= the Carlitz module .); 4. The algebraicity of . and its reductions to fields of “finite” characteristic; and 5. The action of .[.] on rational points via ..
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