By Michael Rosen

Early within the improvement of quantity thought, it was once spotted that the hoop of integers has many houses in universal with the hoop of polynomials over a finite box. the 1st a part of this publication illustrates this dating via featuring analogues of varied theorems. The later chapters probe the analogy among worldwide functionality fields and algebraic quantity fields. themes contain the ABC-conjecture, Brumer-Stark conjecture, and Drinfeld modules.

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