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Basic Structures of Function Field Arithmetic
Language: en
Pages: 433
Authors: David Goss
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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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
Number Theory in Function Fields
Language: en
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Authors: Michael Rosen
Categories: Mathematics
Type: BOOK - Published: 2013-04-18 - Publisher: Springer Science & Business Media

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Early in the development of number theory, it was noticed that the ring of integers has many properties in common with the ring of polynomials over a finite fie
Function Field Arithmetic
Language: en
Pages: 405
Authors: Dinesh S. Thakur
Categories: Mathematics
Type: BOOK - Published: 2004 - Publisher: World Scientific

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This book provides an exposition of function field arithmetic with emphasis on recent developments concerning Drinfeld modules, the arithmetic of special values
Algebraic Function Fields and Codes
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Authors: Henning Stichtenoth
Categories: Mathematics
Type: BOOK - Published: 2009-02-11 - Publisher: Springer Science & Business Media

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This book links two subjects: algebraic geometry and coding theory. It uses a novel approach based on the theory of algebraic function fields. Coverage includes
The Arithmetic of Function Fields
Language: en
Pages: 493
Authors: David Goss
Categories: Mathematics
Type: BOOK - Published: 2011-06-24 - Publisher: Walter de Gruyter

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Thisseries is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research I