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.Download
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