Overview
- 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
Part of the book series: Springer Monographs in Mathematics (SMM)
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Table of contents (14 chapters)
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Front Matter
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Back Matter
Keywords
About this book
The book is intended for researchers and graduate students in number theory.
Reviews
“The book does an outstanding job of curating and detailing a list of important and interconnected mathematical concepts surrounding quasimodular forms, while also building the useful languages for Jacobi-like forms, pseudodifferential operators, and the connections among these objects. … It comprehensively examines the chosen topics … and detailed proofs. At the same time, the book excels at maintaining its focus on the topics at hand, and not leading the reader astray by examining too many ancillary themes.” (Matthew Krauel, Mathematical Reviews, June, 2023)
Authors and Affiliations
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.
MinHo 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).
Bibliographic Information
Book Title: Jacobi-Like Forms, Pseudodifferential Operators, and Quasimodular Forms
Authors: YoungJu Choie, Min Ho Lee
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/978-3-030-29123-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-29122-8Published: 24 January 2020
Softcover ISBN: 978-3-030-29125-9Published: 26 August 2021
eBook ISBN: 978-3-030-29123-5Published: 20 November 2019
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: XV, 296
Number of Illustrations: 1 b/w illustrations
Topics: Number Theory, Algebraic Geometry