Bump, Daniel

Automorphic forms and representations - Cambridge: Cambridge University Press, 1998. - xiv, 574p. : ill. ; pb. ; 23 cm. - Cambridge studies in advanced mathematics ; 55 .

Includes bibliographical and indexes.

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 RankinŲ¦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

9780521658188


Representations of groups
Automorphic forms
Lie groups
Mass wave form
Modular form

515.9 / BUM