Introduction to Modular Forms

  • Serge┬áLang

Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 222)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Classical Theory

    1. Front Matter
      Pages 1-1
    2. Serge Lang
      Pages 3-15
    3. Serge Lang
      Pages 16-23
    4. Serge Lang
      Pages 24-43
  3. Periods of Cusp Forms

    1. Front Matter
      Pages N1-N1
    2. Serge Lang
      Pages 57-67
  4. Modular Forms for Congruence Subgroups

    1. Front Matter
      Pages 99-99
    2. Serge Lang
      Pages 101-117
    3. Serge Lang
      Pages 118-137
    4. Serge Lang
      Pages 138-147
  5. Congruence Properties and Galois Representations

    1. Front Matter
      Pages 149-149
    2. Serge Lang
      Pages 151-175
    3. Serge Lang
      Pages 176-203
  6. p-Adic Distributions

    1. Front Matter
      Pages 205-205
    2. Serge Lang
      Pages 207-227
    3. Serge Lang
      Pages 228-239
    4. Serge Lang
      Pages 240-246
    5. Serge Lang
      Pages 247-254
  7. Back Matter
    Pages 255-264

About this book


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#


Dimension Modular form Modulform Riemann surface derivative distribution homogenization integral zeta function

Authors and affiliations

  • Serge┬áLang
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1987
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-05716-8
  • Online ISBN 978-3-642-51447-0
  • Series Print ISSN 0072-7830
  • Buy this book on publisher's site