Automorphic Forms and Representations (Paperback)

Daniel Bump

ISBN 10: 0521658187 / ISBN 13: 9780521658188

Editore: Cambridge University Press, Cambridge, 1998

Riguardo questo articolo

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 our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Codice articolo 9780521658188

Dati bibliografici

• Titolo: Automorphic Forms and Representations (Paperback)
• Editore: Cambridge University Press, Cambridge
• Data di pubblicazione: 1998
• Lingua: Inglese
• ISBN 10: 0521658187
• ISBN 13: 9780521658188
• Rilegatura: Paperback
• Condizione: new

Descrizione articolo

Riassunto

This book takes advanced graduate students from the foundations to topics on the research frontier.

Recensione

'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