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Automorphic Forms and Representations

Automorphic Forms and Representations

£48.99

Part of Cambridge Studies in Advanced Mathematics

  • Date Published: March 1999
  • availability: Available
  • format: Paperback
  • isbn: 9780521658188

£ 48.99
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  • 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.

    • There are no other books for students in this field
    • Extensive foundational material on representation theory, with complete proofs and explanations of underlying principles
    • Contains enough material for four distinct graduate courses
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    Reviews & endorsements

    '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

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    Product details

    • Date Published: March 1999
    • format: Paperback
    • isbn: 9780521658188
    • length: 592 pages
    • dimensions: 229 x 152 x 38 mm
    • weight: 0.86kg
    • availability: Available
  • Table of Contents

    1. Modular forms
    2. Automorphic forms and representations of GL( 2, R)
    3. Automorphic representations
    4. GL(2) over a p-adic field.

  • Author

    Daniel Bump, Stanford University, California

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