ENGLISH

Elementary Theory of L-functions and Eisenstein Series

By Haruzo Hida

Book information

Publisher
Cambridge University Press
Year
1993
ISBN
0521434114, 9780521434119, 0521435692, 9780521435697
LCC
QA246 .H57 1993
Language
english
Format
PDF
Filesize
9 MB (9828667 bytes)
Series
London Mathematical Society Student Texts volume 26
Pages
399\399
Orientation
yes
Scanned
yes
Time added
2012-03-17 06:00:00

Description

This book is a comprehensive and systematic account of the theory of p-adic and classical modular forms and the theory of the special values of arithmetic L-functions and p-adic L-functions. The approach is basically algebraic, and the treatment is elementary. No deep knowledge from algebraic geometry and representation theory is required. The author's main tool in dealing with these problems is taken from cohomology theory over Riemann surfaces, which is also explained in detail in the book. He also gives a concise but thorough treatment of analytic continuation and functional equation. Graduate students wishing to know more about L-functions will find this a unique introduction to this fascinating branch of mathematics.

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