Automorphic Forms and Representations (Cambridge Studies in Advanced Mathematics)

by Daniel Bump

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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.
  • ISBN13 9780521658188
  • Publish Date 28 November 1998 (first published 28 February 1997)
  • Publish Status Active
  • Out of Print 6 June 2022
  • Publish Country GB
  • Imprint Cambridge University Press
  • Format Paperback (US Trade)
  • Pages 592
  • Language English