num_pages: 369
description: 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.
language: English
title: Number Theory in Function Fields
titlecomplete: Number Theory in Function Fields (Graduate Texts in Mathematics, 210)
ratings_count: 1
series: Graduate Texts in Mathematics
publisher: Springer