Introduction to Modular Forms [Hardcover]

From the reviews: This book gives a thorough introduction to several theories that are fundamental to research on modular forms. Most of the material, despite its importance, had previously been unavailable in textbook form. Complete and readable proofs are given... In conclusion, this book is a welcome addition to the literature for the growing number of students and mathematicians in other fields who want to understand the recent developments in the theory of modular forms.
#Mathematical Reviews#
This book will certainly be indispensable to all those wishing to get an up-to-date initiation to the theory of modular forms.
#Publicationes Mathematicae#From the reviews: This book gives a thorough introduction to several theories that are fundamental to research on modular forms. Most of the material, despite its importance, had previously been unavailable in textbook form. Complete and readable proofs are given... In conclusion, this book is a welcome addition to the literature for the growing number of students and mathematicians in other fields who want to understand the recent developments in the theory of modular forms.
#Mathematical Reviews#
This book will certainly be indispensable to all those wishing to get an up-to-date initiation to the theory of modular forms.
#Publicationes Mathematicae#I. Classical Theory.- I. Modular Forms.- ? 1. The Modular Group.- ? 2. Modular Forms.- ? 3. The Modular Function j.- ? 4. Estimates for Cusp Forms.- ? 5. The Mellin Transform.- II. Hecke Operators.- ? 1. Definitions and Basic Relations.- ? 2. Euler Products.- III. Petersson Scalar Product.- ? 1. The Riemann Surface ?\?.- ? 2. Congruence Subgroups.- ? 3. Differential Forms and Modular Forms.- ? 4. The Petersson Scalar Product.- Appendix by D. Zagier. The Eichler-Selberg Trace Formula on SL2(Z).- II. lÃf