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Jacobi-like forms, pseudodifferential operators, and quasimodular forms

Author: YoungJu Choie; Min Ho Lee
Publisher: Cham, Switzerland : Springer, [2019]
Series: Springer monographs in mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: (OCoLC)1110438867
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: YoungJu Choie; Min Ho Lee
ISBN: 9783030291235 3030291235
OCLC Number: 1129139841
Description: 1 online resource.
Contents: 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.
Series Title: Springer monographs in mathematics.
Responsibility: YoungJu Choie, Min Ho Lee.

Abstract:

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.

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