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 field. The first part of this book illustrates this relationship by presenting analogues of various theorems. The later chapters probe the analogy between global function fields and algebraic number fields. Topics include the ABC-conjecture, Brumer-Stark conjecture, and Drinfeld modules.
- ISBN13 9780387953359
- Publish Date 8 January 2002
- Publish Status Active
- Publish Country US
- Imprint Springer-Verlag New York Inc.
- Edition 2002 ed.
- Format Hardcover
- Pages 358
- Language English