This book takes advanced graduate students from the foundations to topics on the research frontier.
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.
1. Modular forms; 2. Automorphic forms and representations of GL( 2, R); 3. Automorphic representations; 4. GL(2) over a p-adic field.