Springer Monographs in Mathematics

Jacobi-Like Forms, Pseudodifferential Operators, and Quasimodular Forms

Authors: Choie, YoungJu, Lee, Min Ho

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  • First book on quasimodular forms
  • Presents all of the necessary basic materials on quasimodular forms and their relation to pseudodifferential operators, making the book accessible also to non-specialists
  • Contains a nice selection of applications of the theory to a variety of other areas
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eBook 71,68 €
price for Spain (gross)
  • ISBN 978-3-030-29123-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Hardcover 88,39 €
price for Spain (gross)
About this book

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 of 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.  

About the authors

YoungJu Choie, currently Professor of Mathematics at Pohang University of Science and Technology and was an Assistant Professor at the University of Colorado at Boulder, works in the area of number theory, in particular modular forms. She has over 100 publications including a monograph in the Memoirs of American mathematical Society. She served as Editor in Chief of the Bulletin of the Korean Mathematical Society and is currently an Editor of the International Journal of Number Theory. In 2013, she became inaugural Fellow of the American Mathematical Society and In 2018 she became a member of the Korean Academy of Science and Technology. She has received several awards such as  "The best woman Scientist of the year" award (2005) from the Ministry of Science and Technology of  Korea. She has been a visiting fellow at the Max-Planck Institute for Mathematics in Bonn, Stanford University, University of Cambridge. 

Min Ho Lee,  currently Professor of Mathematics at the University of Northern Iowa, works in the area of number theory and algebraic geometry. He has over 100 publications including the monograph "Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms" published by Springer-Verlag in the Lecture Notes in Mathematics series (No. 1845).

Table of contents (14 chapters)

Table of contents (14 chapters)

Buy this book

eBook 71,68 €
price for Spain (gross)
  • ISBN 978-3-030-29123-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Hardcover 88,39 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Jacobi-Like Forms, Pseudodifferential Operators, and Quasimodular Forms
Authors
Series Title
Springer Monographs in Mathematics
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-29123-5
DOI
10.1007/978-3-030-29123-5
Hardcover ISBN
978-3-030-29122-8
Series ISSN
1439-7382
Edition Number
1
Number of Pages
XV, 296
Number of Illustrations
1 b/w illustrations
Topics