Automorphic Forms and Representations (Cambridge Studies in Advanced Mathematics)

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9780521658188: Automorphic Forms and Representations (Cambridge Studies in Advanced Mathematics)
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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.

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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.

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"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

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Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2004. Paperback. Condition: New. Revised ed.. Language: English . Brand New Book. Intermediate in level between an advanced textbook and a monograph, this book covers both the classical and representation theoretic views of automorphic forms in a style which 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, examining this subject matter from many different and complementary viewpoints. Researchers as well as students will find this a valuable guide to a notoriously difficult subject. Seller Inventory # AAU9780521658188

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Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2004. Paperback. Condition: New. Revised ed.. Language: English . Brand New Book. Intermediate in level between an advanced textbook and a monograph, this book covers both the classical and representation theoretic views of automorphic forms in a style which 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, examining this subject matter from many different and complementary viewpoints. Researchers as well as students will find this a valuable guide to a notoriously difficult subject. Seller Inventory # AAU9780521658188

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Book Description Cambridge University Press, 1998. PAP. Condition: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # IQ-9780521658188

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Book Description Cambridge University Press 2004-06, 2004. Condition: New. This item is printed on demand. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Seller Inventory # NU-LSI-06905521

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Book Description Cambridge University Press, 1998. Condition: New. This book takes advanced graduate students from the foundations to topics on the research frontier. Series Editor(s): Bollobas, B.; Fulton, W.; Katok, A.; Kirwan, F.; Sarnak, P.; Simon, B.; Totaro, B. Series: Cambridge Studies in Advanced Mathematics. Num Pages: 592 pages, 5d. BIC Classification: PBH; PBKF. Category: (P) Professional & Vocational. Dimension: 229 x 154 x 36. Weight in Grams: 882. . 1998. Paperback. . . . . . Seller Inventory # V9780521658188

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Book Description Cambridge University Press 1998-11-28, Cambridge, 1998. paperback. Condition: New. Seller Inventory # 9780521658188

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Book Description Cambridge University Press. Condition: New. This book takes advanced graduate students from the foundations to topics on the research frontier. Series Editor(s): Bollobas, B.; Fulton, W.; Katok, A.; Kirwan, F.; Sarnak, P.; Simon, B.; Totaro, B. Series: Cambridge Studies in Advanced Mathematics. Num Pages: 592 pages, 5d. BIC Classification: PBH; PBKF. Category: (P) Professional & Vocational. Dimension: 229 x 154 x 36. Weight in Grams: 882. . 1998. Paperback. . . . . Books ship from the US and Ireland. Seller Inventory # V9780521658188

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Book Description Cambridge University Press, 1998. PAP. Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Seller Inventory # BB-9780521658188

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