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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
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 withemphasis on recent developments concerning Drinfeld modules, thearithmetic of special values o
Field Arithmetic
Language: ja
Pages: 812
Authors: Michael D. Fried
Categories: Computers
Type: BOOK - Published: 2005 - Publisher: Springer Science & Business Media

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Field Arithmetic explores Diophantine fields through their absolute Galois groups. This largely self-contained treatment starts with techniques from algebraic g
Arithmetic Geometry over Global Function Fields
Language: en
Pages: 350
Authors: Gebhard Böckle
Categories: Mathematics
Type: BOOK - Published: 2014-11-13 - Publisher: Springer

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This volume collects the texts of five courses given in the Arithmetic Geometry Research Programme 2009-2010 at the CRM Barcelona. All of them deal with charact
Number Fields and Function Fields – Two Parallel Worlds
Language: en
Pages: 323
Authors: Gerard B. M. van der Geer
Categories: Mathematics
Type: BOOK - Published: 2006-11-24 - Publisher: Springer Science & Business Media

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Invited articles by leading researchers explore various aspects of the parallel worlds of function fields and number fields Topics range from Arakelov geometry,