1997/02/28 by Daniel Bump · 23 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Finite Group Theory Research #Mathematics #Linguistics #Computer science #Philosophy
paper · doi:10.1017/cbo9780511609572
published in Cambridge University Press eBooks (Cambridge University Press)
openalex publication_date 1997/02/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/15
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.