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Jacobi-like forms, pseudodifferentia...

Choie, YoungJu.

Jacobi-like forms, pseudodifferential operators, and quasimodular forms

Record Type:	Electronic resources : Monograph/item
Title/Author:	Jacobi-like forms, pseudodifferential operators, and quasimodular formsby YoungJu Choie, Min Ho Lee.
Author:	Choie, YoungJu.
other author:	Lee, Min Ho.
Published:	Cham :Springer International Publishing :2019.
Description:	xv, 296 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Pseudodifferential operators.
Online resource:	https://doi.org/10.1007/978-3-030-29123-5
ISBN:	9783030291235$q(electronic bk.)

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. - Cham :Springer International Publishing :2019. - xv, 296 p. :ill., digital ;24 cm. - 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$q(electronic bk.)

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

247427
Pseudodifferential operators.

LC Class. No.: QA329.7 / .C46 2019

Dewey Class. No.: 515.7242

Jacobi-like forms, pseudodifferential operators, and quasimodular forms
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245 1 0 $a Jacobi-like forms, pseudodifferential operators, and quasimodular forms $h [electronic resource] / $c by YoungJu Choie, Min Ho Lee.
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300 $a xv, 296 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer monographs in mathematics, $x 1439-7382
505 0 $a 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.
520 $a 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.
650 0 $a Pseudodifferential operators. $3 247427
650 0 $a Jacobi forms. $3 347653
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650 2 4 $a Algebraic Geometry. $3 274807
700 1 $a Lee, Min Ho. $3 855737
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830 0 $a Springer monographs in mathematics. $3 557774
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950 $a Mathematics and Statistics (Springer-11649)