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Jacobi-Like Forms, Pseudodifferential Operators, and Quasimodular Forms

  • YoungJu Choie
  • Min Ho Lee
Book

Part of the Springer Monographs in Mathematics book series (SMM)

Table of contents

  1. Front Matter
    Pages i-xv
  2. YoungJu Choie, Min Ho Lee
    Pages 7-30
  3. YoungJu Choie, Min Ho Lee
    Pages 31-52
  4. YoungJu Choie, Min Ho Lee
    Pages 53-76
  5. YoungJu Choie, Min Ho Lee
    Pages 77-89
  6. YoungJu Choie, Min Ho Lee
    Pages 91-106
  7. YoungJu Choie, Min Ho Lee
    Pages 107-120
  8. YoungJu Choie, Min Ho Lee
    Pages 121-147
  9. YoungJu Choie, Min Ho Lee
    Pages 149-164
  10. YoungJu Choie, Min Ho Lee
    Pages 165-184
  11. YoungJu Choie, Min Ho Lee
    Pages 185-206
  12. YoungJu Choie, Min Ho Lee
    Pages 207-222
  13. YoungJu Choie, Min Ho Lee
    Pages 223-234
  14. YoungJu Choie, Min Ho Lee
    Pages 235-249
  15. YoungJu Choie, Min Ho Lee
    Pages 251-290
  16. Back Matter
    Pages 291-302

About this book

Introduction

This book explores various properties of quasimodular forms, especially their connections with Jacobi-like forms and automorphic pseudodifferential operators. The material that is essential to the subject is presented in sufficient detail, including necessary background on pseudodifferential operators, Lie algebras, etc., to make it accessible also to non-specialists. The book also covers a sufficiently broad range or illustrations of how the main themes of the book have occurred in various parts of mathematics to make it attractive to a wider audience.

The book is intended for researchers and graduate students in number theory.  

Keywords

Quasimodular Forms Number Theory Algebraic Geometry 11F11 11F50

Authors and affiliations

  • YoungJu Choie
    • 1
  • Min Ho Lee
    • 2
  1. 1.Department of MathematicsPOSTECHPohangKorea (Republic of)
  2. 2.Department of MathematicsUniversity of Northern IowaCedar FallsUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-29123-5
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-29122-8
  • Online ISBN 978-3-030-29123-5
  • Series Print ISSN 1439-7382
  • Series Online ISSN 2196-9922
  • Buy this book on publisher's site