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Number Theory in Function Fields Michael   Rosen

Number Theory in Function Fields

Michael Rosen

Published January 8th 2002
ISBN : 9780387953359
Hardcover
358 pages
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 About the Book 

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 ofMoreEarly 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.