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Jacobi-Like Forms, Pseudodifferential Operators, and Quasimodular Forms

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Jacobi-Like Forms, Pseudodifferential Operators, and Quasimodular Forms/ by YoungJu Choie, Min Ho Lee.
作者:	Choie, YoungJu.
其他作者:	Lee, Min Ho.
面頁冊數:	XV, 296 p. 1 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Number theory. -
電子資源:	https://doi.org/10.1007/978-3-030-29123-5
ISBN:	9783030291235

Jacobi-Like Forms, Pseudodifferential Operators, and Quasimodular Forms
Choie, YoungJu.

Jacobi-Like Forms, Pseudodifferential Operators, and Quasimodular Forms[electronic resource] /by YoungJu Choie, Min Ho Lee. - 1st ed. 2019. - XV, 296 p. 1 illus.online resource. - Springer Monographs in Mathematics,1439-7382. - Springer Monographs in Mathematics,.

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.

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. .

ISBN: 9783030291235

Standard No.: 10.1007/978-3-030-29123-5doiSubjects--Topical Terms:

527883
Number theory.

LC Class. No.: QA241-247.5

Dewey Class. No.: 512.7

Jacobi-Like Forms, Pseudodifferential Operators, and Quasimodular Forms
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