This book covers both the classical and representation theoretic views of automorphic forms in a style that is accessible to graduate students entering the field. The treatment is based on complete proofs, which reveal the uniqueness principles underlying the basic constructions. The book features extensive foundational material on the representation theory of GL(1) and GL(2) over local fields, the theory of automorphic representations, L-functions and advanced topics such as the Langlands conjectures, the Weil representation, the Rankin-Selberg method and the triple L-function, and examines this subject matter from many different and complementary viewpoints. Researchers as well as students in algebra and number theory will find this a valuable guide to a notoriously difficult subject.
| |||||||||||||||
Book Description
Product Details
Would you like to update product info or give feedback on images?
|
Product Description
Review
"This outstanding book covers, from a variety of points of view, the theory of automorphic forms on GL(2)....It comprises a solid foundation for the serious student or the researcher interested in automorphic forms, and contains a wealth of information which is not readily accessible in textbook form elsewhere. The book also features well thought out exercises at a variety of levels....this book covers a large amount of material concerning automorphic forms on GL(2), and the material is presented from a vantage far broader. The careful reader will have taken a significant step on the path to contemporary research in this important and beautiful area." Mathematical Reviews
Book Description
The theory of automorphic forms is a cornerstone in modern number theory. It was an essential ingredient of the proof of Fermat's Last Theorem. However, in large part because of the lack of a suitable text this theory has been difficult for students to learn. This book addresses that difficulty. It begins with extensive foundational material and builds to topics on the resear ch frontier, such as the Langlands conjectures and the Weil representation.Researchers as well as students will find this a valuable guide to a notoriously difficult subject.
Inside This Book
(Learn More)
First Sentence
In this chapter, we will introduced the study modular forms the paper of Doi and Naganuma (1969). Read the first page
Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
In this chapter, we will introduced the study modular forms the paper of Doi and Naganuma (1969). Read the first page
Explore More
Concordance
Browse Sample PagesConcordance
Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
Sell a Digital Version of This Book in the Kindle Store
If you are a publisher or author and hold the digital rights to a book, you can sell a digital version of it in our Kindle Store.
Learn more
Customer Reviews
There are no customer reviews yet on Amazon.ca
5 star
4 star
3 star
2 star
1 star
Most Helpful Customer Reviews on Amazon.com (beta)
Amazon.com:
5.0 out of 5 stars
2 reviews
3 of 3 people found the following review helpful
5.0 out of 5 stars
Best introduction to automorphic forms
Feb 14 2012
By Jordan Bell
- Published on Amazon.com
Format:Paperback
The first chapter of this book is over 100 pages and is a great introduction to classical automorphic forms, and explains why we are interested in looking at L-functions arising from automorphic forms. It has the clearest proof I've seen of the dimension formula for the space of modular forms of weight k for the full modular group. The book also has the best presentation I've seen of Hecke operators. The exercises in the book are well chosen and have enough hints that they are actually doable by a patient reader. Maass forms are introduced much better here than in Iwaniec's book. Bump is a careful and precise writer, and this book is a pleasure to read. I highly recommend it.
5.0 out of 5 stars
good
Feb 20 2013
By QI FENG
- Published on Amazon.com
Format:Paperback|Amazon Verified Purchase
it is pretty good, I like it, I get it pretty soon ,almost after two days I order it, the book is brand new
›
Go to Amazon.com to see both reviews
5.0 out of 5 stars
Listmania!
Look for similar items by category
- Books > Education & Reference > Dictionaries & Thesauruses > Science
- Books > New & Used Textbooks > Sciences > Mathematics > Calculus
- Books > Professional & Technical > Professional Science > Mathematics > Pure Mathematics
- Books > Science & Math > Mathematics > Pure Mathematics > Algebra
- Books > Science & Math > Mathematics > Pure Mathematics > Calculus
- Books > Science & Math > Mathematics > Pure Mathematics > Group Theory
- Books > Science & Math > Mathematics > Pure Mathematics > Number Theory
Feedback
Would you like to update product info or give feedback on images?
|
