Automorphic Forms & Representations: 55 (Cambridge Studies in Advanced Mathematics, Series Number 55) - Softcover
Synopsis
This book takes advanced graduate students from the foundations to topics on the research frontier.
"synopsis" may belong to another edition of this title.
Review
'This important textbook closes a gap in the existing literature, for it presents the 'representation theoretic' viewpoint of the theory of automorphic forms on GL(2) ... it will become a stepping stone for many who want to study the Corvallis Proceedings or the Lecture Notes by H. Jaquet and R. Langlands or seek a pathway to R. Langland's conjectures.' Monatshefte für Mathematik
'Students and researchers will find the book an understandable and penetrating treatment of a beautiful theory.' European Mathematical Society
Book Description
The theory of automorphic forms is a cornerstone in modern number theory, an essential ingredient of the proof of Fermat's Last Theorem. This book presents the subject in a style which is accessible to graduate students entering the field, yet includes topics on the research frontier.
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Automorphic Forms and Representations (Cambridge Studies in Advanced Mathematics, Series Number 55)
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Automorphic Forms and Representations (Cambridge Studies in Advanced Mathematics, Series Number 55)
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Paperback. Condition: new. Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521658188
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Automorphic Forms and Representations
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