Number Theory in Function Fields (Paperback, Softcover reprint of hardcover 1st ed. 2002)

Elementary number theory is concerned with arithmetic properties of the ring of integers. 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, for example, analogues of the theorems of Fermat and Euler, Wilson?'s theorem, quadratic (and higher) reciprocity, the prime number theorem, and Dirichlet?'s theorem on primes in an arithmetic progression. After presenting the required foundational material on function fields, the later chapters explore the analogy between global function fields and algebraic number fields. A variety of topics are presented, including: the ABC-conjecture, Artin?'s conjecture on primitive roots, the Brumer-Stark conjecture, Drinfeld modules, class number formulae, and average value theorems.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Graduate Texts in Mathematics, 210
Release date:	December 2010
First published:	2002
Authors:	Michael Rosen
Dimensions:	235 x 155 x 19mm (L x W x T)
Format:	Paperback
Pages:	358
Edition:	Softcover reprint of hardcover 1st ed. 2002
ISBN-13:	978-1-4419-2954-9
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry Books > Science & Mathematics > Mathematics > Number theory > General
LSN:	1-4419-2954-1
Barcode:	9781441929549

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