Number Theory: Volume II: Analytic and Modern Tools
Henri Cohen
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 local aspect, 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.
Kategorie:
Tom:
240
Rok:
2007
Wydanie:
2007
Wydawnictwo:
Springer Science & Business Media
Język:
english
Strony:
619
ISBN 10:
0387498931
ISBN 13:
9780387498935
Serie:
Graduate Texts in Mathematics
Plik:
AZW3 , 2.49 MB
IPFS:
,
english, 2007