Number Theory in Function Fields

Michael Rosen

Number Theory in Function Fields
Format
Hardback
Publisher
Springer-Verlag New York Inc.
Country
United States
Published
8 January 2002
Pages
358
ISBN
9780387953359

Number Theory in Function Fields

Michael Rosen

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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.

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