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Jacobi-like forms, pseudodifferential operators, and quasimodular forms / YoungJu Choie, Min Ho Lee.

Choie, YoungJu, author.; Lee, Min Ho, 1951- author.
2019
QA329.7 .C46 2019
Available Online
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Title
Jacobi-like forms, pseudodifferential operators, and quasimodular forms / YoungJu Choie, Min Ho Lee.
Author
Choie, YoungJu, author.
ISBN
9783030291235 (electronic book)
3030291235 (electronic book)
9783030291228
3030291227
Published
Cham, Switzerland : Springer, [2019]
Language
English
Description
1 online resource.
Item Number
10.1007/978-3-030-29
Call Number
QA329.7 .C46 2019
Dewey Decimal Classification
515/.7242
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Description based on online resource; title from digital title page (viewed on December 12, 2019).
Added Author
Lee, Min Ho, 1951- author.
Series
Springer monographs in mathematics.
Available in Other Form
Print version: 9783030291228
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Introduction
Formal power series and pseudodifferential operators
Jacobi-like forms and pseudodifferential operators
Hecke operators
Lie algebras
Heat operators
Group cohomology
Quasimodular forms
Quasimodular and modular polynomials
Liftings of quasimodular forms
Quasimodular forms and vector-valued modular forms
Differential operators on modular forms
Half-integral weight forms
Projective structures
Applications of quasimodular forms.

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