P-Adic Automorphic Forms on Shimura Varieties (2004)

The book starts with a detailed study of elliptic and Hilbert modular forms and reaches to the forefront of research. The area covered in this book is now a focal point of research worldwide with many far-reaching applications that have led to solutions of longstanding problems and conjectures. Specifically, the use of p-adic elliptic and Hilbert modular forms have proven essential in recent breakthroughs in number theory.