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

Format:

Book

Author/Creator:

Choie, YoungJu, author.

Lee, Min Ho, 1951- author.

崔, 映周, author.

Series:

Springer monographs in mathematics 1439-7382

Springer monographs in mathematics, 1439-7382

Language:

English

Subjects (All):

Pseudodifferential operators.

Jacobi forms.

Physical Description:

ix, 302 pages ; 25 cm.

Place of Publication:

Cham, Switzerland : Springer, [2019]

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.

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.

Notes:

Includes bibliographical references and index.

ISBN:

9783030291228

3030291227

OCLC:

1144912619