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Topics in the Theory of Algebraic Function Fields
Language: en
Pages: 658
Authors: Gabriel Daniel Villa Salvador
Categories: Mathematics
Type: BOOK - Published: 2007-10-10 - Publisher: Springer Science & Business Media

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The fields of algebraic functions of one variable appear in several areas of mathematics: complex analysis, algebraic geometry, and number theory. This text ado
Number Theory in Function Fields
Language: en
Pages: 355
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
Basic Structures of Function Field Arithmetic
Language: en
Pages: 444
Authors: David Goss
Categories: Mathematics
Type: BOOK - Published: 1997-11-18 - 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
Algebraic Functions and Projective Curves
Language: en
Pages: 196
Authors: David Goldschmidt
Categories: Mathematics
Type: BOOK - Published: 2003 - Publisher: Springer Science & Business Media

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This book grew out of a set of notes for a series of lectures I orginally gave at the Center for Communications Research and then at Princeton University. The m
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