03029nam 22005415 450 991036085200332120250723205121.03-030-29123-510.1007/978-3-030-29123-5(CKB)4100000009844967(DE-He213)978-3-030-29123-5(MiAaPQ)EBC5982906(PPN)257359524(MiAaPQ)EBC29090972(EXLCZ)99410000000984496720191120d2019 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierJacobi-Like Forms, Pseudodifferential Operators, and Quasimodular Forms /by YoungJu Choie, Min Ho Lee1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (XV, 296 p. 1 illus.)Springer Monographs in Mathematics,1439-73823-030-29122-7 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. .Springer Monographs in Mathematics,1439-7382Number theoryGeometry, AlgebraicNumber Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M25001Algebraic Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11019Number theory.Geometry, Algebraic.Number Theory.Algebraic Geometry.512.7Choie YoungJuauthttp://id.loc.gov/vocabulary/relators/aut781359Lee Min Ho1951-authttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910360852003321Jacobi-Like Forms, Pseudodifferential Operators, and Quasimodular Forms2516863UNINA