Basic Structures of Function Field Arithmetic

Beschreibung

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
* 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 exposition, lively style.
The arithmetic of function fields over finite fields is a relatively new area of mathematics. The author has been in the forefront of research in this field since it started and this book is the first systematic treatment of this field. Many applications and open problems are presented and the last section of the book introduces the reader to some of the most vital areas of current research.

Autor*in

David Goss

Themen in »Basic Structures of Function Field Arithmetic«

Dimension Drinfeld module Grad algebraic geometry algebraic number theory calculus finite field number theory zeta function

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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 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
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