Modular Forms (Springer Monographs in Mathematics)

This book is a translation of the earlier book written by Koji Doi and the author, who revised it substantially for this English edition. It offers the basic knowledge of elliptic modular forms necessary to understand recent developments in number theory. It also treats the unit groups of quaternion algebras, rarely dealt with in books; and in the last chapter, Eisenstein series with parameter are discussed following the recent work of Shimura. The Upper Half Plane and Fuchsian Groups.- Automorphic Forms.- L-Functions.- Modular Groups and Modular Forms.- Unit Groups of Quaternion Algebras.- Traces of Hecke Operators.- Eisenstein Series.