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.
FREE Two-Day Shipping for students on millions of items. Learn more |
| |||||||||||||||
 Sell Back Your Copy for $6.17
Whether you buy it used on Amazon for $57.43 or somewhere else, you can sell it back through our Book Trade-In Program at the current price of $6.17.
Used Price$57.43
Trade-in Price$6.17
Price after
Trade-in$51.26 |
Book Description
Special Offers and Product Promotions
- Buy $50 in qualifying physical textbooks, get $5 in Amazon MP3 Credit. Here's how (restrictions apply)
Frequently Bought Together
Editorial Reviews
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.
Product Details
Would you like to update product info or give feedback on images?
|
More About the Author
Discover books, learn about writers, read author blogs, and more.
Customer Reviews
|
There are no customer reviews yet.
|
|||
|
Video reviews
|
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 Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
central quasicharacter, irreducible admissible representation, admissible unitary representations, functoriality conjecture, narrow class number one, automorphic cuspidal representation, admissible module, smooth module, intertwining integral, restricted tensor product, infinitesimal equivalence class, base change lift, multiplicity one theorem, totally positive generator, supercuspidal representations, nonzero matrix coefficient, adele ring, nontrivial additive character, automorphic representation, local functional equations, upper triangular unipotent matrices, parabolic induction, automorphic forms, principal series representations, compact induction Key Phrases - Capitalized Phrases (CAPs): (learn more)
Proof Let, Exercises Exercise, Artin L-functions, Proof First, Proof By Proposition, Euclidean Laplacian, Dirichlet L-functions, Langlands L-functions, Proof Suppose, Corollary Let, Proof See Lang New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
In this chapter, we will introduced the study modular forms the paper of Doi and Naganuma (1969). Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
central quasicharacter, irreducible admissible representation, admissible unitary representations, functoriality conjecture, narrow class number one, automorphic cuspidal representation, admissible module, smooth module, intertwining integral, restricted tensor product, infinitesimal equivalence class, base change lift, multiplicity one theorem, totally positive generator, supercuspidal representations, nonzero matrix coefficient, adele ring, nontrivial additive character, automorphic representation, local functional equations, upper triangular unipotent matrices, parabolic induction, automorphic forms, principal series representations, compact induction Key Phrases - Capitalized Phrases (CAPs): (learn more)
Proof Let, Exercises Exercise, Artin L-functions, Proof First, Proof By Proposition, Euclidean Laplacian, Dirichlet L-functions, Langlands L-functions, Proof Suppose, Corollary Let, Proof See Lang New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 57
books:
See all 57 books this book cites
10
books
cite this book:
See all 10 books citing this book
- Linear Algebraic Groups (Progress in Mathematics) by T.A. Springer in Back Matter (1), Back Matter (2), and Back Matter (3)
- Modular Forms (Mathematics and Its Applications (Ellis Horwood Ltd)) by Robert Rankin in Back Matter (1), and Back Matter (2)
- Linear Algebraic Groups (Graduate Texts in Mathematics) by Armand Borel in Back Matter (1), and Back Matter (2)
- Collected Papers Vol 2 by Atle Selberg in Back Matter (1), and Back Matter (2)
- An Introduction to Harmonic Analysis (Cambridge Mathematical Library) by Yitzhak Katznelson in Back Matter
See all 57 books this book cites
- An Introduction to the Langlands Program by Joseph Bernstein on 4 pages
- Analyse mathématique IV: Intégration et théorie spectrale, analyse harmonique, le jardin des délices modulaires (French Edition) by Roger Godement on page 538, page 570, and page 574
- Doing Mathematics: Convention, Subject, Calculation, Analogy by Martin H. Krieger in Back Matter (1), and Back Matter (2)
- Fourier Analysis on Number Fields (Graduate Texts in Mathematics) (v. 186) by Dinakar Ramakrishnan in Back Matter
- An Introduction to Sieve Methods and Their Applications (London Mathematical Society Student Texts) by Alina Carmen Cojocaru in Back Matter
See all 10 books citing this book
Books on Related Topics
(learn more)
|
What Other Items Do Customers Buy After Viewing This Item?
Tags Customers Associate with This Product(What's this?)Click on a tag to find related items, discussions, and people.
|
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 Discussions
|
This product's forum
Active discussions in related forums
Search Customer Discussions
|
Related forums
|
