Number Theory. Vol. 2 Analytic and Modern Tools

Number Theory. Vol. 2 Analytic and Modern Tools - Graduate Texts in Mathematics

Softcover reprint of hardcover 1st ed. 2007

Paperback (12 Feb 2010)

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Publisher's Synopsis

This book deals with several aspects of what is now called "explicit number theory." The central theme is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. The first is the local aspect, the second is the global aspect, and the third aspect is the theory of zeta and L-functions. This last aspect can be considered as a unifying theme for the whole subject, and embodies in a beautiful way the local and global aspects of Diophantine problems. This unique collection of topics contains more than 350 exercises and its text is largely self-contained.

Book information

ISBN: 9781441923882
Publisher: Springer New York
Imprint: Springer
Pub date:
Edition: Softcover reprint of hardcover 1st ed. 2007
DEWEY: 512.7
DEWEY edition: 22
Language: English
Number of pages: 596
Weight: 949g
Height: 234mm
Width: 156mm
Spine width: 32mm