Automorphic forms and representations

書誌事項

Automorphic forms and representations

Daniel Bump

(Cambridge studies in advanced mathematics, 55)

Cambridge University Press, 1998

  • : pbk

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注記

Includes bibliographical references (p. 558-567) and index

First published: 1996

内容説明・目次

内容説明

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.

目次

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

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