Jacobi-Like Forms, Pseudodifferential Operators, and Quasimodular Forms

Beschreibung

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.  


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.  


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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YoungJu Choie

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“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)

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