Automorphic Forms and Representations
by
Daniel Bump
Book Details
Format
Paperback / Softback
Book Series
Cambridge Studies in Advanced Mathematics
ISBN-10
0521658187
ISBN-13
9780521658188
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Nov 28th, 1998
Print length
592 Pages
Weight
874 grams
Dimensions
22.90 x 15.40 x 3.60 cms
Product Classification:
Number theoryFunctional analysis & transformsFunctional analysis and transforms
Ksh 12,050.00
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The theory of automorphic forms is a cornerstone in modern number theory, an essential ingredient of the proof of Fermat's Last Theorem. This book presents the subject in a style which is accessible to graduate students entering the field, yet includes topics on the research frontier.
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.
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