Automorphic Forms and Representations
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Automorphic Forms and Representations by Daniel Bump
Book DescriptionIntermediate 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.
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Book DetailsISBN: 9780521658188
(228mm x 152mm x 33mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 28-Nov-1998
Country of Publication: United Kingdom
Books By Author Daniel Bump
Lie Groups, Hardback (October 2013)
Going beyond the representation theory of compact Lie groups, this book offers a carefully chosen range of material conveying the bigger picture. Covers Lie algebra, Weyl character formula, symmetrical function theory, Satake diagrams, Sage software and more.
Weyl Group Multiple Dirichlet Series, Paperback (July 2011)» View all books by Daniel Bump
Weyl group multiple Dirichlet series are generalizations of the Riemann zeta function. Like the Riemann zeta function, they are Dirichlet series with analytic continuation and functional equations, having applications to analytic number theory. This book proves foundational results about these series and develops their combinatorics.
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