Basic Structures of Function Field Arithmetic

  • David Goss

Table of contents

  1. Front Matter
    Pages I-XIII
  2. David Goss
    Pages 1-33
  3. David Goss
    Pages 35-42
  4. David Goss
    Pages 43-62
  5. David Goss
    Pages 63-135
  6. David Goss
    Pages 137-177
  7. David Goss
    Pages 179-192
  8. David Goss
    Pages 193-233
  9. David Goss
    Pages 235-348
  10. David Goss
    Pages 349-387
  11. David Goss
    Pages 389-400
  12. Back Matter
    Pages 401-424

About this book


From the reviews:"The 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


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

Authors and affiliations

  • David Goss
    • 1
  1. 1.Department of MathematicsThe Ohio State UniversityColumbusUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1998
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-63541-3
  • Online ISBN 978-3-642-61480-4
  • Series Print ISSN 0071-1136
  • Buy this book on publisher's site
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