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Basic Structures of Function Field Arithmetic - David Goss

Basic Structures of Function Field Arithmetic

Paperback

Published: 18th November 1997
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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

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

Additive Polynominals
Review of Non-Archimedean Analysis
The Carlitz Module
Drinfeld Modules
T-Modules
Shtukas
Sign Normalized Rank 1 Drinfeld Modules
L-series
Gamma-functions
Additional Topics
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540635413
ISBN-10: 3540635416
Audience: General
Format: Paperback
Language: English
Number Of Pages: 424
Published: 18th November 1997
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.52 x 15.6  x 2.54
Weight (kg): 0.64