Jacobi-Like Forms, Pseudodifferential Operators, and Quasimodular Forms

• Main Authors: Choie, YoungJu (Author, http://id.loc.gov/vocabulary/relators/aut), Lee, Min Ho (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Springer Monographs in Mathematics,
• Subjects: Number theory.; Algebraic geometry.; Number Theory.; Algebraic Geometry.

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 operato...

Table of 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.