Basic structures of function field arithmetic
By: David Goss.
Publisher: Springer
Published: 1998
Place of publication: Berlin; New York
Language: eng
Number of pages: 424
Subjects: Algebraic fields; Arithmetic functions; Drinfeld modules
Description: 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
Notes: Includes bibliographical references (p. [401]-419) and index.
"Corrected second printing 1998 of the first edition 1996, which was originally published as volume 35 of the series Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge"--T.p. verso.