Elementary Theory of L-Functions and Eisenstein Series : London Mathematical Society Student Texts - Haruzo Hida

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Elementary Theory of L-Functions and Eisenstein Series

By: Haruzo Hida

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Hardcover | 12 April 1993

At a Glance

Hardcover
400 Pages

Dimensions(cm)
22.86 x 15.24 x 2.54

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The theory of p-adic and classic modular forms, and the study of arithmetic and p-adic L-functions has proved to be a fruitful area of mathematics over the last decade. Professor Hida has given courses on these topics in the USA, Japan, and in France, and in this book provides the reader with an elementary but detailed insight into the theory of L-functions. The presentation is self contained and concise, and the subject is approached using only basic tools from complex analysis and cohomology theory. Graduate students wishing to know more about L-functions will find that this book offers a unique introduction to this fascinating branch of mathematics.

Industry Reviews

"...its style is unusually lively; even in the exposition of classical results, one feels that the proof has been reinvented and is often illuminating...a large part of the text explains theories and results due to the author; behind a classical title are hidden many theorems never published in book form until now...one must be thankful to the author to have written down the first accessible presentation of the various aspects of his theory...highly reommended to graduate students and more advanced researchers wishing to learn this powerful theory." Jacques Tilouine, Mathematical Reviews "...this is a comprehensive and important book-one that deserves to be studied carefully by any serious student of L-functions and modular forms." Glen Stevens,Bulletin of the American Mathematical Society

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Suggestions to the reader
Algebraic number theory
Classical L-functions and Eisenstein series
p-adic Hecke L-functions
Homological interpretation
Elliptical modular forms and their L-functions
Modular forms and cohomology groups
Ordinary L-adic forms, two-variable p-adic Rankin products and Galois representations
Functional equations of Hecke L-functions
Adelic Eisenstein series and Rankin products
Three-variable p-adic Rankin products
Appendix
References
Answers to selected exercises
Index
Table of Contents provided by Publisher. All Rights Reserved.

Elementary Theory of L-Functions and Eisenstein Series

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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Paperback

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