ENGLISHJAPANESE

Number Theory 2: Introduction to Class Field Theory

By Kurokawa , Nobushige; Saitō , Takeshi; Kato , Kazuya

Book information

Publisher
American Mathematical Society
Year
2011
ISBN
0821813552, 9780821813553
Language
englishjapanese
Format
DJVU
Filesize
2 MB (1583196 bytes)
Series
Iwanami series in modern mathematics.; Translations of mathematical monographs 240
Pages
240\249
Library
kolxoz
Time added
2017-10-15 16:00:00
Class field theory;Number theory

Description

This book, the second of three related volumes on number theory, is the English translation of the original Japanese book. Here, the idea of class field theory, a highlight in algebraic number theory, is first described with many concrete examples. A detailed account of proofs is thoroughly exposited in the final chapter. The authors also explain the local-global method in number theory, including the use of ideles and adeles. Basic properties of zeta and $L$-functions are established and used to prove the prime number theorem and the Dirichlet theorem on prime numbers in arithmetic progressions. With this book, the reader can enjoy the beauty of numbers and obtain fundamental knowledge of modern number theory. The translation of the first volume was published as Number Theory 1: Fermat's Dream, Translations of Mathematical Monographs (Iwanami Series in Modern Mathematics), vol. 186, American Mathematical Society, 2000

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